Transformations of Quadratic Functions

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8

• x=1

• x=-1

• x=2

What direction is the following equation opening?
y=-3x²-7x+8

• Up

• Down

• Left

• Right

Tags

CCSS.HSF-IF.C.7A

Which form is the equation
y = -3(x-5)²+7 in?

• Standard

• Vertex

• Factored

• None of These

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

(a)  

• g(x)=f(x - 3)

• g(x)=f(x + 3)

• g(x)=f(x) + 3

• g(x)=f(x) - 2

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

• compress

• stretch

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

• stretch

• compress

Identify the possible functions that matches each specific transformation listed from the parent function f(x) = x^2

a

b

c

d

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

a

b

c

d

Horizontal Translation

Vertical Translation

Vertical Dilation

Horizontal Dilation

Label how each number transforms the function

b

c

d

e

Left 3

Moves up 7

Stretched by a factor of 2

Right 3

Reflected over the x-axis