Quadratic Functions Transformations With Pictures

Tags

CCSS.HSF-IF.C.7A

If the blue graph is
f(x) = x² 
then the red must be...

Mathematical Equivalence

ON

• compress

• stretch

The graph of quadratic parent function f was transformed to create the graph of e(x). Which two equations represent the translation on the graph? (Place the f(x) version in the second spot).

Tags

AI.9.6

• It is shifted 3 units to the left and 4 units down.

• It is shifted 3 units to the right and 4 units up.

• It is shifted 3 units to the left and 4 units up.

• It is shifted 3 units to the right and 4 units down.

• up 3

• down 3

• right 1

• left 1

• across x axis

• upward

• (h,k) = (-3,-2)

• 
• (h,k) = (2,-3)

• 
• (h,k) = (-2,3)

• 

• up 3

• down 3

• right 1

• left 1

• downward

• upward

• It is reflected across the x-axis.

• It is reflected across the y-axis.

• It is shifted upwards.

• It is shifted downwards.

Label how each number transforms the function

b

c

d

e

Stretched by a factor of 2

Right 3

Left 3

Moves up 7

Reflected over the x-axis