Transformations to Quadratic Functions

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

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)

If the blue is f(x)=x^2, the red must be

• g(x)=(x + 3)²

• g(x)=(x - 3)²

• g(x)=x² + 3

• g(x)=x² - 2

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

• stretch

• compress

a

b

c

d

e

reflected

right

up

left

down

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

Describe the Transformation of the function; ​ (a)  

• Vertical Compression

• Vertical Stretch

• Horizontal Shift RIGHT

• Horizontal Shift LEFT

• Reflection over the X-Axis

• Vertical Shift DOWN

• Vertical Shift UP

a

b

c

d

Horizontal Translation

Horizontal Dilation

Vertical Translation

Vertical Dilation

Label how each number transforms the function

b

c

d

e

Moves up 7

Left 3

Right 3

Stretched by a factor of 2

Reflected over the x-axis