Quadratic Function Transformations

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

What is the y intercept for the equation:
y = -8x² + 3x - 7

• (0, -8)

• (0, 3)

• (0, 7)

• (0, -7)

Tags

CCSS.HSF-IF.C.7A

If given the equation
y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Complete the square for
x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

Tags

CCSS.HSA-REI.B.4B

a

b

c

d

Horizontal Translation

Horizontal Dilation

Vertical Translation

Vertical Dilation

• Reflection over x-axis

• None of these

a

b

c

d

e

up

reflected

left

down

right

"a" causes the parabola to vertically ​ (a)   when a > 1.

• stretch

• compress

Label how each number transforms the function

b

c

d

e

Moves up 7

Reflected over the x-axis

Right 3

Left 3

Stretched by a factor of 2

The parent function, f(x), is transformed so that it maps into g(x). Which equation would correctly represent g(x)?

• g(x)=f(x - 3)

• g(x)=f(x + 3)

• g(x)=f(x) + 3

• g(x)=f(x) - 2