Parabola
Absolute Value
Square root
cubic function
Exponential
100
What is the parent function of a Parabola?
y=x^2
100
What is the parent function of absolute value?
y=|x|
100
What is the parent function of square root?
y=sqrt(x)
100
what is the parent function of cubic function?
y=x^3
100
When does the exponential have growth and when does the exponential have decay?
When growth factor is greater than 1, the function has growth.
When the factor is greater than 0 and less than 1, the function has decay.
200
What is the domain of a parent function parabola?
(-oo,oo)
200
What is the range for the function |x|?
[0,oo)
200
y=sqrtx
What is the domain of the function?
[0,oo)
200
What is the domain and range of the function x3?
(-oo,oo) and (-oo,oo)
200
What is the range for the following function?
y=2^x+4
(4,oo)
300
Describe the transformations that are occurring.
y=5(x-8)^2+2
vertical stretch by a factor of 5
8 units right
2 units up
300
Describe the transformations that are occurring.
y=1/2|x+2|-3
vertical compression by a factor of 1/2
2 units left
3 units down
300
Describe the transformations that are occurring.
y=sqrt(x-13)+20
13 units right
20 units up
300
Describe the transformations that are occurring.
y=4(x+7)^3-9
Vertical stretch by a factor of 4
7 units left
9 units down
300
Describe the transformations that are occurring.
y=2^(x-1)-13
Growth factor of 2
1 unit right
13 units down
400
Given the following transformations, please create the function.
Vertical compression by factor of 1/2
5 units left
7 units up
y=1/2(x+4)^2+7
400
Given the following transformations, please create the function.
Reflected across the x-axis
vertical stretch by a factor of 2
9 units to the right
4 units down
y=-2|x-9|-4
400
Given the following transformations, please create the function.
Reflected across the x-axis
3 units right
10 units up
y=-sqrt(x-3)+10
400
Given the following transformations, please create the function.
Reflected across the x-axis
vertical compression by a factor of 1/3
4 units right
3 units up
y=-1/3(x-4)^3+3
400
Given the following transformations, please create the function.
Decay by a factor of a 1/2
5 units left
4 units upy=(1/2)^(x+5)+4
500
Write the equation for this function
y=(x+5)2-3
500
Write the equation of the function
y=-|x-3|-2
500
Write the correct function
y=sqrt(x-2)+3
500
Write the appropriate function
y=-(x+4)3+2
500
Write the equation of this function. (For this problem, only a shift is done to the parent function 2x)
y=2^x-4