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