g(x) is the transformation the parent function f(x)=x2 after being reflected over the x-axis and translated 4 units left. What is the equation for g(x)?

Answers

Answer 1

Answer:

Reflection across the x-axis: y = − f ( x ) y = -f(x) y=−f(x) The concept behind the reflections about the x-axis is basically the same as the reflections about the y-axis. The only difference is that, rather than the y-axis, the points are reflected from above the x-axis to below the x-axis, and vice versa.

Answer 2

the equation for g(x) after reflected over x axis and translated 4 units left

[tex]g(x)=-(x+4)^2[/tex]

Given :

Parent function is [tex]f(x)=x^2[/tex]

When a graph is reflected over x-axis then f(x)=-f(x)

When a graph is translated 'a' units left then we add 'a' with

f(x) becomes f(x+a)

Parent function f(x) is reflected over x-axis , multiply -1 with f(x)

so , [tex]f(x)=-x^2[/tex]

Now we translate 4 units to the left, add 4 with x

[tex]g(x)=-x^2\\g(x)=-(x+4)^2[/tex]

The final equation of g(x) is

[tex]g(x)=-(x+4)^2[/tex]

Learn more :  brainly.com/question/9111027


Related Questions

Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards, as shown in the diagram. What is the length of the diagonal, in yards, that Tanya runs?

Answers

Answer:

70 besarse you have to add

please help me i will mark brainliest!!! Rewrite as a simplified fraction 0.612 also the 12 is repeating

Answers

Answer:

= 68/111

Step-by-step explanation:

PLEASE HELP ME I WILL GIVE YOU A BRAINILIST
A six sided die is rolled then a quadrilateral is chosen at random parallelogram ,rhombus, rectangle square and trapezoid. What is the probability of getting five quadrilateral with four congruent sides?

Answers

Answer:

1. Square

2. Rhombus

I hope I helped, if not please let me know and I will correct my answer.

Happy new year, good luck with your future studies.

Step-by-step explanation:

The probability of getting five quadrilateral with four congruent sides is,

⇒ 1 / 3

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A six sided die is rolled then a quadrilateral is chosen at random parallelogram ,rhombus, rectangle, square and trapezoid.

Hence, Total number of outcomes = 6

And, We know that;

Square and Rhombus have four congruent sides.

Hence, Number of possible outcomes = 2

Thus,  The probability of getting five quadrilateral with four congruent sides is,

⇒ 2 / 6

⇒ 1 / 3

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ3

Read the caption! And pls help me :))

Answers

Answer:

ASA

Step-by-step explanation:

If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of the other triangle, then the triangles are congruent.

The included side is the side between the vertices of the 2 triangles.

Here

∠ S = ∠ W ( 1 angle )

∠ R = ∠ X ( 2 angles )

RS = XW ( side between the 2 angles )

Thus the 2 triangles are congruent by the ASA postulate

5. A broken rectangular-shaped window is
being replaced. It measures 24 inches by 187
inches. How many square inches of glass are
needed to repair the window? Draw a picture
to help.

Answers

Answer:

4488

Step-by-step explanation:

(24)(187)

Ar a furniture store, a bed frame costs $440 and mattress costs $654. There are currently 7 bed frames in the store, and together the bed frames and the mattresses are worth $10,820. How many mattresses are in the store?
A.1
B.5
C.12
D.15
A step y step explanation please!

Answers

Answer:

the three angles of a triangle have measures x,2x,and 4y,where x>56.If x and y are integers, what is one possible value of y?

Select the correct answer from each drop-down menu.

1_____ × 10-3 is 2,000 times greater than 1.9 × 10-6. It is also
2_____ times greater than 9.5 × 10-4.

Answers

Answer:

Well, 1 is 3.8 The second one is 40,

Step-by-step explanation:

I believe 1 is 3.8, b/c 1.9*2 is 3.8, and the difference between exponents makes 3 zeros, so 2000.

The second one is 40, I confirmed this by doing .0001 to replicate 10 to the negative 4th power

By doing 9.5*.0001*40, I got the 0.038 from 1

Answer:

3.8 × 10-3 is 2,000 times greater than 1.9 × 10-6. It is also 4 times greater than 9.5 x 10-4.

Step-by-step explanation:

I started by doing 0.0000019 x 2000 and got 0.0038. If you move the decimal point 4 over you get 3.8.

EVERYONE ELSE IS WRONG!!! I got this correct on the test after retaking it, the second one is NOT 40 it is 4.

One batch of cookies requires two eggs and two and a half cups of flour. How many cups of flour are needed to make three and a half batches of Cooke's?

Answers

Answer:

7 1/2

Step-by-step explanation:

What is the solution to the system of equations?
4x-5y=-2
X=15-4y

Answers

34. This is because you can just use a calculator

16c^2+ 18c+5
Factor Each Trinomial.

Answers

Answer:

(2c +1)(8c+5)

Step-by-step explanation:

I got my answer based off how i understood the problem.

Solve for X (This should be easy)

Answers

Answer:

17

Step-by-step explanation:

15^2+8^2=17^2

is 4(x+1) - 3 and 4x + 1 equivalent and why ??

Answers

Answer:

Step-by-step explanation:

4x + 4 - 3

= 4x + 1

Yes they both are equivalent because the algebraic expression is same

simplify this expression 4^5/4^3

Answers

Answer:

It is 4 squared

Step-by-step explanation:

When dividing exponents it’s almost like subtraction so 4^5/4^3 is 4^2

The answer
4^5/4^3 = 4^2 =16

use the area of a triangle to write a formula for the area of a regular polygon and solve of the formula for height

Answers

Answer:

4

Step-by-step explanation:

For each percentage, find a matching statement to describe it. PLZ HELP!!!

Answers

1. 4
2. 3
3. 2
4. 5
5. 6
6. 1

3x + 1 = 10
Show work

Answers

Answer:

x = 3

Step-by-step explanation:

3x + 1 = 10

subtract 1 from both sides of the equation

3x + 1 - 1 = 10 - 1

3x = 10 - 1

3x = 9

divide both sides of the equation by 3

3x/3 = 9/3

x = 9/3

x = 3

Answer:

X=3

Step-by-step explanation:

3x+1=10 -> switch 1 3x = 10 - 1

3x = 9

9/3 = 3

A recipe for cake used 3 1/3 cups of flour. Audre has 12 1/12 cups of flour. What is the most number of cakes she can make?​

Answers

Answer:

3 cakes.

Step-by-step explanation:

12 1/2 divided by 3 1/3 gives you 3.625, then you round it off to 3.

Answer:

3 cakes hope this helps :)

Meteorologists recorded a temperature change from 72˚F to 28˚F in one day. Write an equation that represents how many degrees the temperature fell.

Answers

Answer:

72-x=28 or 72-28=x

Step-by-step explanation:

What is the congruence theorem used to prove that the two triangles are congruent?

Answers

Answer:

ASA

Step-by-step explanation

They have a congruent angle at the top of the triangle and they both have a right angle at the bottom. They share the same side, so this is ASA.

if you had a score of 60% how many marks out of 150 did he obtain

Answers

Answer:

90

Step-by-step explanation:

60/100=x/150

180/300=2x/300

2x=180

x=90

Answer:

90 marks

Step-by-step explanation:

10 % of 150 is 15

multiply that by 6

60% of 150 is 90

please help im stuck on this question and its due for tomorrow please help!

rearrange y= 1/3x+1 to make x the subject

please help ill be very grateful tysm x

Answers

9514 1404 393

Answer:

  x = 3(y -1)

Step-by-step explanation:

In this, and any, "solve for ..." situation, you want to first take a look at where the variable of interest is in the equation, and what has been done to it.

Here, x is on the right side (only). It has these operations done to it:

multiplied by 1/31 added to the product

You solve for x by undoing these operations, in reverse order. As always, with any equation, you do the same thing to both sides of the equation.

__

First, we will undo "add 1". We do that by adding the opposite of 1.

  y -1 = 1/3x +1 -1 . . . . . -1 added (to both sides)

  y -1 = 1/3x . . . . . . . . . simplify

To undo the "multiply by 1/3", we can multiply by the "multiplicative inverse" (reciprocal) of 1/3. That is, we want to multiply by 3.

  3(y -1) = 3(1/3x) . . . . . multiply (both sides) by 3

  3(y -1) = x . . . . . . . . . simplify

We can leave it like this.

  x = 3(y -1)

Or, we can eliminate parentheses using the distributive property .

  x = 3y -3

These are completely equivalent equations with x as the subject.

Please help me ASAP!!!

Answers

Answer: -5, 5, 9

Step-by-step explanation: Range means y values.

Keisha makes a large sandwich for a family picnic. She takes
1\2

of the sandwich to the picnic. At the picnic, her family eats
1/4
of the whole sandwich.

What fraction of the whole sandwich does Keisha bring back from the picnic?

I will brainliest Please

Answers

Answer:

3/4 becuae fractions if u have 1/2 which is like 50% and take 25% of it u have only 25% left

Mara put down 7.5% on the purchase of her new home. If she put down $14.175, find the purchase price of the home

Answers

Given:

Mara put down 7.5% on the purchase of her new home.

She put down $14.175.

To find:

The purchase price of the home.

Solution:

Let x be the purchase price of the home.

According to the question,

Put down = 7.5% of the purchase price of the home.

[tex]14.175=\dfrac{7.5}{100}\times x[/tex]

[tex]14.175=0.075x[/tex]

Divide both sides by 0.075.

[tex]\dfrac{14.175}{0.075}=x[/tex]

[tex]189=x[/tex]

Therefore, the purchase price of the home is $189.

I need help ASAP thanks xd​

Answers

It would be 125 you do 180 minus 55

[Function Composition] could someone help me with this answers or show work either is fine

Answers

Answer:

(f ○ g)(8) = - 6

Step-by-step explanation:

Evaluate g(8), then substitute the value obtained into f(n)

g(8) = 8 - 2 = 6 , then

f(6) = - 6

Answer:

-62

Step-by-step explanation:

Two functions are given to us , which are ,

[tex]\bf\implies f(n)= -n \\\\\bf\implies g(n)= n - 2 [/tex]

We need to find , ( f • g )(8) . So ,

⇒ ( f • g) = - n ( n - 2 )

⇒ ( f • g) = -n² + 2

(f g) = 2 -

==================================

Substituting n = 8 :-

⇒ ( f • g)(n) = 2 - n²

⇒ ( f • g)(8) = 2 - 8²

⇒ (f • g)(8) = 2 - 64

( f g)(8) = -62 .

Hence the required answer is (-62) .

What is the value of the expression below when x=4?

7x^2+8x−7

Answers

Answer:

137

Step-by-step explanation:

when x=4 , We substitute in the above equation

(7 x 4²)+(8x4)-7 = 112+25 =137

Answer : 137

Explanation: basically you plug 4 into the x spots so; 7(4)^2 + 8(4) -7

=7(16) + 8(4) -7

= 112 + 32 - 7

= 144 -7

= 137

Write an equation and solve. Round to the nearest hundredth where necessary.

16 is what percent of 32?


A.) 16 = n • 32; 55%

B.) 16 = n • 32; 50%

C.) 32 = 16 • n; 2%

D.) 32 = 16 • n; 42.5%

Answers

B. 16=n*32; 50%

Step by step explanation:

16 divide 32= 1/2

1/2*100= 50

1/6 x 8 + 2/3 x 9/8 =

Answers

Answer:

A

Step-by-step explanation:

do the multiplication first

Answer:

25 /12

Step-by-step explanation:

its the first one.

I did it on math_way

The number of gallons used to wash dishes varies directly with the number of loads. If it takes 65 gallons to wash 5 loads. How many gallons would be needed to wash 3 loads?

Answers

Answer:

13 gallons

Step-by-step explanation:

Answer:

39 gallons

Step-by-step explanation:

We would use a simple relation here

65 gallons washes 5 loads, then

65/5 gallons will wash one load

13 gallons washes one load

Now, to find 3 loads will be

13 * 3 gallons = 39 gallons

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