QUADRATICS TRANSFORMATIONS

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

then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

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

If red represents y = x², which equation represents blue?

• y = 2x²
• y = -2x²
• y = -x²
• y = (x - 1)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

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