Describe Function
Name the parent function and describe the transformation of this function:
f(x) = (-x + 3)2 + 8
Quadratic Function
Shift left 3
Reflection in the y-axis
Shift up 8
Name the parent function and draw a picture of:
y = x
Linear
Write the equation for a Cubic Function that has been:
shifted left 6
reflected in the y-axis
shifted down 2
f(x) = (-x + 6)3 - 2
Name the parent function and describe the transformations for this function:
f(x) = -|x - 5| -7
Absolute Value Function
Shift Right 5
Reflection in the x-axis
Shift down 7
Name the parent function and draw a picture of:
y = x2
Quadratic Function
Write the equation for a Quadratic Function that has been:
Shifted to the left 4
Reflection in the y-axis
Shifted up 2
f(x) = (-x + 4)2 + 2
Name the parent function and describe the transformations for this function:
f(x) = (-x + 4)^3 +12
Cubic Function
Shift left 4
Reflection in the y-axis
Shift up 12
Name the parent function and draw a picture of:
y = x3
Cubic Function
Write the equation for an Absolute Value Function that has been:
Shifted right 4
Shift down 7
f(x) = |x - 4| - 7
Name the parent function and describe the transformations for this function:
f(x) = -|-x + 67| - 67
Absolute Value Function
Shifted left 67
Reflection in the origin
Shift down 67
Name the parent function and draw a picture of:
y = sqrt(x)
Square Root Function
Write the equation for a Square Root Function that has been:
Shift left 12
Reflection in the x - axis
Shift down 4
f(x) = -sqrt(x-12) -4
Name the parent function and describe the transformations for this function:
f(x) = sqrt(-x + 6) - 12
Shifted left 6R
Reflection in the y-axis
Shift down 12
Name the parent function and draw a picture of:
y = |x|
Absolute Value Function
Write the equation for a Cubic Function that has been:
Shifted left 8
Reflected in the origin
Shifted up 2
f(x) = -(-x + 8) + 2