The graph of g is a horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the y-axis of the graph of
f(3) = 8x2 - 6. Write a rule for g. Then identify the vertex.
The vertex is

Answers

Answer 1

Answer:

f(x)=8x^2-6

f(x) = a (x -h)2 + k

horizontal stretch by a factor of 2 -> 1/2 x

2 units up -> k = 2

reflection in y axis -> x value is negative

g(x) = 8*(1/2 x)2 - 6 + 2

g(x) = 2 x2 -4

Step-by-step explanation:

Answer 2

The vertex will be at g(x) = 2x² -4.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given that the graph of g is a horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the y-axis of the graph of

f(3) = 8x² - 6.

f(x)=8x²-6

f(x) = a (x -h)2 + k

Horizontal stretch by a factor of 2 -> 1/2 x

2 units up -> k = 2

Reflection in y axis -> x value is negative.

g(x) = 8 x (1/2 x)² - 6 + 2

g(x) = 2x² -4

Therefore, the vertex will be at g(x) = 2x² -4.

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Related Questions

It takes 3 2 ⁄6 spoons of chocolate syrup to make 2 3 ⁄5 gallons of chocolate milk. How many spoons of syrup would it take to make 4 gallons of chocolate milk?

Answers

Answer:

Step-by-step explanation:

This is  a proportion question.

change 2.6 to a decimal. 2/6 = 1/3 = 0.3333333

change 3/5 to a decimal 3/5 = 0.6

3.3333 / 2.6 = x / 4                 Cross multiply

4*3.33333 = 2.6x                    Combine the left.

13.33333= 2.6x                       Divide by 2.6

13.3333/2.6 = x

x = 5.128 spoons of syrup.

Solve the following system of equations:
Y=x^2+4x+4
Y=x+2
What is the value of y?

Answers

Answer:

y=4, y=2

Step-by-step explanation:

a=3b+4c-a is this a litteral equation

Answers

Answer:

a= 3b+4c/2

Step-by-step explanation:

2a=3b+4c

a= 3b+4c/2


PLEASE HELP ME ASAP

Solve for x in the diagram below

Answers

Answer:

x=12

Step-by-step explanation:

The right angle is congruent to the other side. So 90-20=70. 6x-2=70. Add 2 to both sides to cancel out the minus 2. 6x=72 72/6=12

Answer:

[tex]\huge\boxed{\sf x = 12}[/tex]

Step-by-step explanation:

6x - 2 + 20 = 90     [Complementary Angles]

6x + 18 = 90

Subtracting 18 to both sides

6x = 90 - 18

6x = 72

Dividing both sides by 6

x = 12

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Una caja registradora contiene $1782 en monedas de cinco pesos, de diez y de un peso. Hay 802 monedas en total, y 10 veces más de 5 que de a 10 ¿Cuántas monedas hay de cada una en la caja registradora?

Answers

Answer:

En la caja registradora hay 200 monedas de cinco pesos, 20 monedas de 10 pesos y 582 monedas un peso.

Step-by-step explanation:

De acuerdo a la información, puedes escribir las siguientes ecuaciones:

x+y+z=802 (1)

5x+10y+z=1782 (2)

x=10y (3)

Primero debes reemplazar (3) en (1) y (2):

10y+y+z=802

11y+z=802 (4)

5(10y)+10y+z=1782

50y+10y+z=1782

60y+z=1782 (5)

Ahora, tienes dos ecuaciones:

11y+z=802 (4)

60y+z=1782 (5)

Puedes despejar z en (4):

z=802-11y (6)

Después, puedes reemplazar (6) en (5):

60y+802-11y=1782

49y=1782-802

y=980/49

y=20

Puedes reemplazar el valor de y en (3) para encontrar x:

x=10y

x=10(20)

x=200

Puedes reemplazar el valor de y en (6) para encontrar z:

z=802-11(20)

z=802-220

z=582

De acuerdo a esto, en la caja registradora hay 200 monedas de cinco pesos, 20 monedas de 10 pesos y 582 monedas de un peso.

What is a first step to solving for x in the equation −=9 x minus 7 equals 10? How would you check your solution

Answers

Answer:

-17/9

Step-by-step explanation:

You need to add 7 to both sides.

-9x - 7 = 10

-9x -7 + (7) = 10 + 7

-9x             = 17

Then both sides for (-9)

-9x/(-9) = 17/(-9)

          x = -17/9

a hot air ballon is rising at a constant rate. the relationship between its height above the ground and the time since it left the ground is shown in the following graph

Answers

Answer:

C

Step-by-step explanation:

Khan academy .-.

The Ironman endurance race has a 2.4 miles swim. Javier can swim 0.5 miles in 20 minutes. If he can continue this pace, it will take him hours to finish the swim event.

Answers

Given :

The Ironman endurance race has a 2.4 miles swim.

Javier can swim 0.5 miles in 20 minutes.

To Find :

How much time in hours it takes to complete the race.

Solution :

Speed of Javier :

[tex]s=\dfrac{2.4}{\dfrac{20}{60}}\ mph\\\\s= 7.2\ mph[/tex]

Let, time taken to cover 2.4 miles is t .

So,

[tex]t = \dfrac{2.4}{7.2}\ hours\\\\t = 0.33\ hours[/tex]

Hence, this is the required solution.

Does this look good I made it this morning

Answers

Answer:

looks delicious

Step-by-step explanation:

Answer:

Man looks so good!

Step-by-step explanation:

Send me some in the mail. lol ☺☻♥

there are 12 inches in a foot how many square inches are in 1 1/2 feet

Answers

Answer:

144.

The reason is because 1 ft = 12 in, (1 ft)2 = (12 in)2 = 144 in2.

By using Euler's formula, find the number of edges of a polyhedron with 16 faces and 20 vertices​

Answers

Answer:

34 edges

Step-by-step explanation:

Euler's formula for polyhedron states

F + V - E = 2

where F is number of faces, V, number of vertices, E number of edges

Here F = 16, V = 20, thus

16 + 20 - E = 2, that is

36 - E = 2 ( subtract 36 from both sides )

- E = - 34 ( multiply both sides by - 1 )

E = 34

5/8 divided by 1 and 1/3?

Answers

Answer:

15/32

Step-by-step explanation:

First convert 1 1/3 to improper fraction:

  1 1/3 = 4/3

5/8 divided by 4/3 is same as...

  [tex]\frac{5}{8} * \frac{3}{4} = \frac{15}{32}[/tex]

why is sin(90 degrees) = 1. I know that that is the answer you get when you plug it into a calculator. I need an explanation as to why it equals 1

Answers

Answer:

Sin 90 = 1/1 = 1

Use trigonometry formula and a triangle with lengths of 1

Suppose 15% of x equals 20% of y. What percentage of x is y?
a) 5 b) 35 c) 75 d) 133 1/5 e) 300

Answers

Answer:

c)15

Step-by-step explanation:

Confirmed by rsm

A percentage is a way to describe a part of a whole. x is 133¹/₃% of y. The correct option is D.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that 15% of x equals 20% of y. Therefore, we can write,

15% of x = 20% of y

(15/100) × x = (20/100) × y

Multiply both the sides of the equation by 100,

(15/100) × x × 100 = (20/100) × y × 100

15x = 20y

x/y = 20/15

Divide both the sides of the equation by 5,

x/y = 4/3

Now, the percentage of x that is y is,

Percentage = (x/y) × 100%

                   = (x/y) × 100%

                   = (4/3) × 100%

                   = 133.33%

                   = 133 ¹/₃ %

Hence, x is 133.33¹/₃% of y.

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help pls, this is geometry

Answers

Answer:

sas - meaning side angle side

Step-by-step explanation:

Which of the following is a composite number between 20 and 40?
A.
37
B.
36
C.
31
D.
29

Answers

Answer:

B, 36

Because, a composite number has factors

The others are prime

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

22. Determine the value of c so that the line
segment with endpoints B(2, 2) and C(9,6)
BC
is parallel to the line segment with endpoints
D(c, -7) and E(5, -3).

help is appreciated !!!

Answers

Answer:

If the lines BC and DE are parallel, the value of c is c=-2

Step-by-step explanation:

We are given line segment BC with end points B(2, 2) and C(9,6) and line segment DE with endpoints  D(c, -7) and E(5, -3).

Using slope formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex] we can find point c

When 2 lines are parallel there slope is same.

So, Slope of line BC =Slope of Line DE

[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have:

[tex]x_1=2, y_1=2, x_2=9, y_2=6 \ for \ line \ BC \ and \\\x_1=c, y_1=-7, x_2=5, y_2=-3 \ for \ line \ DE \[/tex]

Putting values and finding c

[tex]\frac{6-2}{9-2}=\frac{-3-(-7)}{5-c}\\ \frac{4}{7}=\frac{-3+7}{5-c} \\ \frac{4}{7}=\frac{4}{5-c} \\Cross \ multiply:\\4(5-c)=4*7\\20-4c=28\\-4c=28-20\\-4c=8\\c=\frac{8}{-4}\\c=-2[/tex]

So, If the lines BC and DE are parallel, the value of c is c=-2

William left his house at time zero and drove to the store, which is 8 blocks away, at a speed of 2 blocks per minute. Then he stopped and went into the store for 2 minutes. From there, he drove in the same direction at a speed of 4 blocks per minute until he got to the bank, which is 16 blocks away from the store. He stopped at the bank for 5 minutes. Then he drove home at a speed of 12 blocks every minute. Make a graph showing the number of blocks away from home that William is x minutes after he leaves his house, until he get back home.

Answers

Answer:

17 minutes

Step-by-step explanation:

First distance in blocks and time.

x1= 8 b and t1 = 4 min

Second distance in blocks and time.

x2= 8 b and t2 = 6 min

Third distance in blocks and time.

x3= 24 b and t3 = 12 min

Fourth distance in blocks and time.

x4= 24 b and t4 = 17 min

Final distance in blocks and time.

x5= -24 b and t5 = 19 min

The first trap Willian is 8 blocks from home, we know that the speed is 2 b/min (blocks per minute). Using the definition of speed V1 = x1/t1 we can find t1. t1 will be t1 = 8/2 = 4 min.

He spends 2 minutes, so t2 = 6 min.

Now, the new speed is V2=4 b/min and go to the bank that is 16 blocks away from store, so x2 = 16 + 8 = 24 b. Times will be t = 24/4 = 6 min. But we need to add to t2 to get the total time. t3 = 6 + 6 = 12 min.

He spends 5 minutes here, so t4 = 12 + 5 = 17 min.

Finally, he drove home at -12 b/min, so the time to get home will be:

t = 24/12 = 2 min. Therefore, the total time t5 = 17 + 2 = 19 min.

You can learn more about velocity plots here:

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I hope it helps you!        

                           

         

Solving systems of equations x+y=10 y=x-4

Answers

Answer:

(7,3)

Step-by-step explanation:

Aaron needs to hire a waiter. Waiter A is offering his services for an
initial $25 in addition to $5.25 per hour. Waitress B is offering her
services for an initial $30 in addition to $4.25 per hour. When will the
two waiters charge the same amount of money?

Answers

Answer:

In 4 Hours

Step-by-step explanation:

1 hour:   A: 30.25           B: 34.25

2 hours: A: 35.5             B: 38.5

3 Hours: A: 40.75          B: 42.75

4 Hours: A: 46                B: 46

Determine which of the values is a solution of 14>22−2z. My options are 2, 5, 7, 3, -4, 0

Answers

Answer:

I think -4

Step-by-step explanation:

Solve the equation 7x+12=x−6 to find the number, x .



x= __

Answers

x equals -3 i’m adding more characters because it’s not 20 but it’s -3

Answer: -3

Step-by-step explanation:

It is possible to get 2 solutions when the system of equations is: (check all that apply)

A system of 2 linear equations in 2 variables
A system of 3 linear equations in 3 variables
A system of the equation of a circle and a linear equation
A system of the equation of a parabola and a linear equation

Answers

Answer:

A system of the equation of a circle and a linear equation

A system of the equation of a parabola and a linear equation

Step-by-step explanation:

Let us verify our answer

A system of the equation of a circle and a linear equation

Let an equation of a circle as [tex]x^2+ y^2 = 1[/tex] ..........(1)

Let a liner equation Y = x ............(2)

substitute (2) in (1)

[tex]x^2 + x^2 = 1\\2x^2 = 1\\[/tex]

[tex]x^2 = \frac{1}{\sqrt{2} } \\x = +\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex]  so Y = [tex]+\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex]

so the two solution are ( [tex](\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} }) (-\frac{1}{\sqrt{2} }, -\frac{1}{\sqrt{2} }[/tex])

A system of the equation of a parabola and a linear equation

Let equation of Parabola be [tex]y^2 = x[/tex]

and linear equation y = x

substitute

[tex]x^2 = x\\x^2 - x= 0\\x(x-1) = \\x = 0 , 1[/tex]

Y = 0,1

so the two solutions will be (0,0) and (1,1)

Find the area of the triangle

Answers

Answer:

The area of the triangle WYX  = [tex]\frac{35}{2}[/tex] = 17[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The area of the triangle WYX  is [tex]\frac{1}{2}[/tex]*b*h

We need to find base (b) and height (h)

By counting from the drawing, the base which is horizontal is 7 and the height which is vertical is 5

The area of the triangle WYX  is [tex]\frac{1}{2}[/tex]*b*h

The area of the triangle WYX  = [tex]\frac{1}{2}[/tex]*7*5 = [tex]\frac{35}{2}[/tex] = 17[tex]\frac{1}{2}[/tex]

04.01 mc y-2x=-1 and 2y-x=4 choose the correct graph of the given systems of equations

Answers

Answer:

1st one  m=0

y= 0.49875311x  / cm

No horizonal asymptotes

x= 1/2 + 2.005 mcy

2nd one is

slope 1/2

y intercept (0,2)

x      y

-4     0

0       2

Step-by-step explanation:

for 2

starting point ay y 2 make a point

then rise over run

go up 1 and to the right 2 and point , then up 1 and to the right 2 and point

there is your graph

If you have 6 pieces of plywood
that are 4'x8', how many total
1xl pieces can you get out if
you use all of them?

Answers

Answer:192

Step-by-step explanation:

Calculate the area l*w or s*s

Divide the two areas to get the number of 1*1 from 1 plywood then multiply by their number which is 6 here

4*8=32/1=32*6=192

camila has a younger brother and an older brother. one is three years younger than her and the other is 5 years older than her

Answers

What’s the question?

Answer:

59 years and younger

Step-by-step explanation:

Divide and reduce: 2 1/4 divided by 1 2/3

Answers

Answer:

63/48

Step-by-step explanation:

21/4÷12/3

21/4×3/12

63/48.

So the final answer is 63/48

Answer:

1/35

Step-by-step explanation:

1−2+3−4+5−6 + ⋯ +101−102

Answers

Answer:

-4

Step-by-step explanation:

1-2=-1+3=2-4=-2+5=3-6=-3+101=98-102=-4

I hope I am right

What is 6.02 x 10^5 written in standard form?

Answers

Answer:

602,000

Step-by-step explanation:

Answer:

602,0000

Step-by-step explanation:

10^5 = 100,000

6.02 x 100,000

I simply moved the numbers forward by 5 spaces.

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