Transformation Quadratics

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

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

How did we transform from the parent function? y = -1/5x² + 7 (Choose ALL that apply.)

• reflection over the x-axis

• vertical shift up 7

• vertical stretch of 1/5

• vertical shift down 7

• vertical compression of 1/5

Find the equation of the parabola that has moved... 8 units down

• Vertical compression (wider)

• Vertical stretch (narrower)

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

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

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

Which function has a translation of 7 units down and reflects over the x-axis?

• f(x) = -(x - 7)² + 1

• f(x) = (x + 7)² + 1

• f(x) = -(x - 1)² - 7

• f(x) = (x + 1)² - 7