Transformations Quadratic Functions

Write the equation of the quadratic function. (parabola)

• y = x² - 5

• y = x² + 5

• y = ( x - 5 )²

• y = ( x + 5 )²

Write the equation of the quadratic function. (parabola)

• y = x² - 1

• y = x² + 1

• y = ( x - 1 )²

• y = ( x + 1 )²

Tags

CCSS.HSF-IF.C.7A

Write the equation of the quadratic function. (parabola)

• y = x² - 2

• y = x² + 2

• y = ( x - 2 )²

• y = ( x + 2 )²

Tags

CCSS.HSF-IF.C.7A

Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?

• Horizontal shift left 6, vertical shift up 2

• Horizontal shift left 6, vertical shift down 2

• Horizontal shift right 6, vertical shift down 2

• Horizontal shift right 6, vertical shift up 2

Label the graphs with the correct transformation compared to the parent function f(x)=x^2

a

b

c

d

e

right

up

down

left

reflected

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

• stretch

• compress

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

• up 3

• down 3

• right 1

• left 1

• across x axis

• upward

Label how each number transforms the function

b

c

d

e

Left 3

Stretched by a factor of 2

Right 3

Moves up 7

Reflected over the x-axis

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

• compress

• stretch