Transformations of a Quadratic Function

How did we transform from f(x) =x² 
to
g(x) = -3x²

• reflection in x-axis and vertical shift down

• reflection x-axis and vertical stretch

• horizontal stretch

• reflection 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

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum

• Minimum

Tags

CCSS.HSF-IF.C.7A

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

• Reflected

• Left 3

• Right 3

• Down 2

• Up 2

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

a

b

c

d

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

Vertical Dilation

a

b

c

d

Vertical Dilation

Horizontal Dilation

Horizontal Translation

Vertical Translation

a

b

c

d

e

up

left

right

reflected

down

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

• stretch

• compress