What is the parent function of a Parabola?
y=x^2
What is the parent function of absolute value?
y=|x|
What is the parent function of square root?
y=sqrt(x)
what is the parent function of cubic function?
y=x^3
What is the domain of a parent function parabola?
(-oo,oo)
What is the range for the function |x|?
[0,oo)
y=sqrtx
What is the domain of the function?
[0,oo)
What is the domain and range of the function x3?
(-oo,oo) and (-oo,oo)
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
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
Describe the transformations that are occurring.
y=sqrt(x-13)+20
13 units right
20 units up
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
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
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
Given the following transformations, please create the function.
Reflected across the x-axis
3 units right
10 units up
y=-sqrt(x-3)+10
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
Write the equation for this function
y=(x+5)2-3
Write the equation of the function
y=-|x-3|-2
Write the correct function
y=sqrt(x-2)+3
Write the appropriate function
y=-(x+4)3+2