Transformations Quadratics

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²

• f(x) = 5(x + 2)²

• f(x) = (x - 2)² - 5

• f(x) = (x + 2)² + 5

• F

• G

• H

• J

• F

• G

• H

• J

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right

How did we transform from f(x) =x² to g(x) = -3x²

• reflection in x-axis and vertical shift down

• reflection in x-axis and vertical stretch

• horizontal stretch

• reflection in x-axis and vertical compression

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

• g(x) = (x + 3)²

• g(x) = (x - 3)²

• g(x) = x² + 3

• g(x) = x² - 2

What are the transformations?y=(x-2)²+4 (Choose ALL that apply.)

• shift right 2

• shift left 2

• shift up 4

• shift down 4

Write the equation of this transformation: reflection across x-axis, left 3, up 15

• y= -(x+3)²+15

• y= -(x+3)² - 15

• y= (x+3)²+15

• y= -(x+15)²+3

Match the description to its equation.
Moves right 7

• A

• B

• C

• D

• Vertical compression (wider)

• Vertical stretch (narrower)

• Vertical compression (wider) and reflection over x-axis

• Vertical stretch (narrower) and reflection over x-axis