Answers
Answer:
For question 6 :
> Vertical stretch by 4 ( Multiply y co-ordinates by a)
> Horizontal compress by 2 ( Multiply x co-ordinates by 1/a)
For question 7 :
> Horizontal compress by 3 (Multiply x co-ordinates by 1/a)
> Graph moved down 4.
I hope this is what you looking for.
Answer:
6. Stretched horizontally by a factor of 1/2 and stretched vertically by a factor of 4.
7. Stretched horizontally by a factor of 1/3 and translated 4 units down.
Step-by-step explanation:
Transformations
[tex]\textsf{For $a > 0$}[/tex]
[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated $a$ units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated $a$ units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated $a$ units down}[/tex]
[tex]a\:f(x) \implies f(x) \: \textsf{stretched parallel to the $y$-axis (vertically) by a factor of $a$}[/tex]
[tex]f(ax) \implies f(x) \: \textsf{stretched parallel to the $x$-axis (horizontally) by a factor of $\dfrac{1}{a}$}[/tex]
[tex]-f(x) \implies f(x) \: \textsf{reflected in the $x$-axis}[/tex]
[tex]f(-x) \implies f(x) \: \textsf{reflected in the $y$-axis}[/tex]
Question 6Parent function:
[tex]f(x)=\sqrt{x}[/tex]
Stretched horizontally by a factor of 1/2:
Multiply the x-variable by 2:
[tex]\implies f(2x)=\sqrt{2x}[/tex]
Stretched vertically by a factor of 4:
Multiply the function by 4:
[tex]\implies4f(2x)=4\sqrt{2x}[/tex]
Question 7Parent function:
[tex]f(x)=\lfloor x \rfloor[/tex]
Stretched horizontally by a factor of 1/3:
Multiply the x-variable by 3:
[tex]\implies f(3x)=\lfloor 3x \rfloor[/tex]
Translated 4 units down:
Subtract 4 from the function:
[tex]\implies f(3x)-4=\lfloor 3x \rfloor-4[/tex]
Related Questions
Help i don’t know if my answers are correct and I need the other ones I didn’t answer to be answered to please help I need the correct answer for 1-8 I need to bring my grade up
Answers
1) correct
2) correct
3) Not Congruent
4) Not Congruent
5) correct
6) Not Congruent
7) incorrect
8) SAS
Explanation:
7 is incorrect because the angle isn’t included in the sides
Hope this helps!
Thermometer A measures the temperature at 75 degrees Fahrenheit. Thermometer B measures the temperature at
22 degrees Celsius. Which thermometer displays the greater temperature?
Thermometer A
Thermometer B
Answers
Based on the temperatures displayed by Thermometer A and Thermometer B, the thermometer displaying the greater temperature is Thermometer A
How to find the thermometer with the greater temperature?The best way to find the thermometer that is displaying the greater temperature is to convert the units of temperature to a single unit so that a proper comparison can be made.
Convert Thermometer B to degrees Fahrenheit. Celsius to Fahrenheit gives:
= (1°C × 9/5) + 32
= (22°C × 9/5) + 32
= 71.6 degrees Celsius
This means that Thermometer A is displaying the greater temperature.
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directions - solve the liner system. enter your answer as an ordered pair. 2x + 3y = 31 y = x + 7
Answers
(1) 2x + 3y = 31 y
(2) 2x + 3y = x + 7
(3) 31y = x + 7
(3) x = 31y - 7
(2) 2(31y - 7) + 3y = 31y - 7 + 7 ; 62y - 14 + 3y = 31y ; 34y = 14 ; y = 14/34 ; y = 7/17
(3) x = 31y - 7 ; x = 31*(7/17) - 7 ; x = (217 - 119)/17 = 98/17
x = 98/17 ≈ 5.76
y = 7/17 ≈ 0.41
He company spent 32% of its annual budget developing a new machine what fraction of the company‘s budget was spent developing the new machine
Answers
The fraction of the company's annual budget which was spent on developing a new machine is; 8/25.
What fraction of the company budget was used to develop the new machine?It follows from the task content that the company in discuss spent 32% of its annual budget developing a new machine.
This insinuates that the percentage given can be as a fraction as follows;
= 32/100
When expressed in it's simplest form;
= 8/25
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what is 4x^2 if x is 1/8?
Answers
Answer:
1/6
Step-by-step explanation:
If a family has 6 children, in how many ways can the parents have 3 boys and 3 girls as children?
Answers
Answer:
one way?
Step-by-step explanation:
huh? what do you mean by this question?
x + 8 + 2x <= 2x + 13
Answers
Answer:
X = 15
Step-by-step explanation:
We move all terms to the left:
x+8+2x-(2x+13)=0
We add all the numbers together, and all the variables:
3x-(2x+13)+8=0
We get rid of parentheses:
3x-2x-13+8=0
We add all the numbers together, and all the variables:
x-5=0
We move all terms containing x to the left, all other terms to the right:
x=5
15 pts for this question :)
Answers
Answer:
it is not a function
The expression 9/2 = 3 is the same as
А
9/2 x3
B
9/2 x 3/2
с
9/2 x 1/3
D
2/9 = 3
Answers
Find the inequality represented by the graph
Answers
Answer:
y /< 5/2 x +5
Step-by-step explanation:
y is less than or equal to 5/2 x plus 5
since its a solid line and shaded below you would use less than or equal to
Does any one know how to solve 1.69 x 6?
Answers
10.14
explain explain explain explain
Answer:
10.14
Step-by-step explanation:
1.69
x 6
------
10.14
The decimal points do not need to line up when multiplying..
1. The 6 on the bottom is multipled by the 9 on top which gets us 54 we write down the 4 and carry the 5.
2. The 6 on the bottom is now multiplied with the other 6 on top which gets us 36 plus the 5 that we carried earlier in the first step which equals 41. 36 + 5 = 41 We write down the 1 and carry the 4.
3. The 6 on the bottom is now multiplied with the 1 on top which gets us 6 plus the 4 that we carried ealier in the second step which equals 10. 6 + 4 = 10
4. So now we have the numbers 1014 but we can't forget about the decimal. Count all the numbers behind the decimal in the top and bottom numbers (if the bottom number doesn't have any numbers behind it, then no need to count), and we get two numbers behind the decimal.
5. When a number has no decimal in between the numbers then the decimal will always be at the end. So now we move the decimal (at the end) two times to the left and get 10.14
Check:
10.14 ÷ 6 = 1.69
True statement.
Hope this helps :)
Factor completely
81x^12 - 1
Answers
Answer:
81x^(2)-1
Step-by-step explanation:
Rewrite 81^(2) as (9x)^(2)
Rewrite 1 as 1^(2)
Since they are perfect squares , factor using the perfect squares formula
(9x + 1) (9x - 1)
8. Write the equation in Slope-Intercept Form with the following, information:
Remember, plug into point-slope, y - y, = m(x - x,), then solve down I
Passes through (7, 4) with a slope of -3
Answers
The slope-intercept equation of the given line is 3x + y = 25
Slope-intercept is one of the special forms of linear equations where we can find the slope-intercept of any point with its coordinates and its slope.
The line is passing through the point(x₁,y₁) = (7,4)
The slope of the line line(m) = -3
Slope-intercept equation
y-y₁ = m( x- x₁)
Where (x₁,y₁) is (7,4) and Slope,m is -3
Let us substitute these values in the slope-intercept equation, It becomes
y - 4 = -3(x - 7)
y - 4 = -3x + 21
3x + y = 21 + 4
3x + y = 25
which is the slope-intercept equation of the points (7,4) and slope -3
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Suppose that the functions q and r are defined as follows.
g(x)=x² +5
r(x)=√x+7
Find the following.
(roq)(2) = 0
&
X
(q or)(2) =
5
?
Answers
Answer:
(r o g)(2) = 4
(q o r)(2) = 14
Step-by-step explanation:
Given
[tex]g(x) = x^2 + 5[/tex]
[tex]r(x) = \sqrt{x + 7}[/tex]
Solving (a): (r o q)(2)
In function:
(r o g)(x) = r(g(x))
So, first we calculate g(2)
[tex]g(x) = x^2 + 5[/tex]
[tex]g(2) = 2^2 + 5[/tex]
[tex]g(2) = 4 + 5[/tex]
[tex]g(2) = 9[/tex]
Next, we calculate r(g(2))
Substitute 9 for g(2)in r(g(2))
r(q(2)) = r(9)
This gives:
[tex]r(x) = \sqrt{x + 7}[/tex]
[tex]r(9) = \sqrt{9 +7{[/tex]
[tex]r(9) = \sqrt{16}[/tex]{
[tex]r(9) = 4[/tex]
Hence:
(r o g)(2) = 4
Solving (b): (q o r)(2)
So, first we calculate r(2)
[tex]r(x) = \sqrt{x + 7}[/tex]
[tex]r(2) = \sqrt{2 + 7}[/tex]
[tex]r(2) = \sqrt{9}[/tex]
[tex]r(2) = 3[/tex]
Next, we calculate g(r(2))
Substitute 3 for r(2)in g(r(2))
g(r(2)) = g(3)
[tex]g(x) = x^2 + 5[/tex]
[tex]g(3) = 3^2 + 5[/tex]
[tex]g(3) = 9 + 5[/tex]
[tex]g(3) = 14[/tex]
Hence:
(q o r)(2) = 14
What are the coordinates of point Q? HELPP QUICK !!!
Answers
Answer:
The coordinates of point Q are [tex]\mathbf{(4,2\frac{1}{2})}[/tex]
Step-by-step explanation:
The coordinates of point Q can be found looking at the graph
We need to find the value of x-coordinate and y-coordinate by looking at graph.
Check the value of x-coordinate that matches point Q similarly check the value of y-coordinate that matches point Q
Looking at the graph Point Q is at x=4 and y=2.5 or [tex]2\frac{1}{2}[/tex]
So, The coordinates of point Q are [tex]\mathbf{(4,2\frac{1}{2})}[/tex]
A 14-foot ladder is being used to get to the top of a 12-foot-tall wall. At what angle of elevation
must the ladder be positioned in order to reach the top of the wall?
Answers
Answer:
7.2
Step-by-step explanation:
solve 7(82 - 60) + 3³
Answers
Answer:
181
Step-by-step explanation:
7× (82 - 60) + 3³
or. 7 × 22 + 27
or 154 + 27
or. 181
Find the range of the function y=1/2x+3
When the domain is -2,0,2,4
Answers
Y=1/2(0)+3=3
Y=1/2(2)+3=4
Y=1/2(4)+3=5
Someone please help me !
Find the slope of line then put the answer as a integer or as a reduced fraction in the form A/B
Answers
Answer:
-1/12
Step-by-step explanation:
The line passes through (0,10) and (-600,60)
So m = (60 - 10)/(-600 - 0) = 50/(-600) = -1/12
Question 5 Multiple Choice Worth 1 points) (04.05 MC) Determine if the ordered pair (-1 , -5) is a solution to the inequality y≤-3/4-1
No, because (-1. 5) is above the line
Yes, because (-1, -5) is below the line
No, because (-1, 5) is on the line
Yes, because 1-1, 5) is on the line
Answers
Answer:
(-1, -5) satisfies the inequality and will be the solution to the inequality.
From the attached figure, it is clear that (-1, -5) is below the line.
Therefore, the correct option is:
''Yes, because 1-1, 5) is on the line''.
Step-by-step explanation:
Given the inequality
[tex]y\le -\frac{3}{4}x-1[/tex]
substituting (-1, -5) to check whether it satisfies the inequality or not
[tex]-5\le \:-\frac{3}{4}\left(-1\right)-1[/tex]
[tex]-5\:\le \:\frac{3}{4}-1[/tex]
[tex]-5\:\le -\frac{1}{4}[/tex]
TRUE
Thus, (-1, -5) satisfies the inequality and will be the solution to the inequality.
From the attached figure, it is clear that (-1, -5) is below the line.
Therefore, the correct option is:
''Yes, because 1-1, 5) is on the line''.
Pls help 10pts which model shows 33 1/3?
Answers
The model that shows 33 1/3% is the first model that has one shaded box and two unshaded boxes.
What is percentage?Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentage is a measure of frequency and the sign used to represent percentages is %.
33 1/3 % is expressed as a mixed fraction, that is it is made up of a whole number and a proper fraction. In order to convert 33 1/3 % to a fraction, divide 33 1/3 % by 100
33 1/3 % ÷ 100 = 1 / 3
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PLEASE HELP ME WITH THIS
Answers
Answer:
"dadadaddda"
Step-by-step explanation:
"daddadada"
Find the sample variance and standard deviation
19,12,6,7,11
Thank you
Answers
Answer:
Variance: 26.5
Standard Deviation: 5.1478150704935
Step-by-step explanation:
First, Add up all of the numbers: 6 + 7 + 11 + 12 + 19 = 55
Square the total, and then divided the number of items in the data set55 x 55 = 3025
3025 / 5 = 605
Take your set of original numbers from step 1, squared them individually this time, and added them all up:(6 x 6) + (7 x 7) + (11 x 11) + (12 x 12) + (19 x 19) = 711
Subtract the amount in step 2 from the amount in step 3:711 - 605 = 106
Subtract 1 from the number of items in my data set:5 - 1 = 4
Divide the number in step 4 by the number in step 5:106 / 4 = 26.5
Finally, take the square root of the number from step 6 (the variance),
√(26.5) = 5.1478150704935
What is the equation of the line that passes through the point (-5,0) and has a
slope of 3/5
Quick please
Answers
This should be your answer
Equation: y=3/5x+3
What is the wavelength measurement?
A. 2 m
B. 2 s
C. 0.4 m
D. 0.8 m
Answers
The wavelength measurement of the figure is,
⇒ 2 meter
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
We have to given that;
The figure is shown in image.
Since, We know that;
Wavelength is the distance between identical points in the adjacent cycles of a waveform signal propagated in space or along a wire.
Hence, We get;
The wavelength measurement of the figure is,
⇒ 3.5 - 0.5 meter
⇒ 2 meter
Thus, The wavelength measurement of the figure is,
⇒ 2 meter
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PLS HELP ASAP
Simplify 8 − (14). (1 point)
Question 5 options:
1)
−22
2)
−6
3)
6
4)
22
Answers
8 is positive and 14 negative. You can either draw a number line and help yourself with that or since the negative one is bigger you can do the subtraction 14 - 8 and then change the sign of the answer.
50 Points!
During a particular week, a company wants Angie and Dylan to work at most 60 hours
between them. Write the inequality that shows x, the number of hours Angie works,
and y, the number of hours Dylan works.
Answers
Max's solar pool cover is 10 feet wide by 32 feet long. If it had a 1.5 ft overhang,
what would be the dimensions of the solar pool cover for the swimming pool?
Width
Feet
Length
Feet
का
Answers
Answer:
W=13 ft L=35 feet
Step-by-step explanation:
see detailed explanation below
help. please. I need help
Answers
The pet shop had black birds, red birds, blue birds, and gray birds. What is the ratio of blue birds to the total number of birds?
Answers
Answer:
NUMBER PLEASE.
Step-by-step explanation: