Quadratics and Their Transformations

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry for the following function
f(x) = 2x² - 2x + 3

• x = 1/2

• y = 1/2

• x = 3

• y = 3

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

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

Compared to the parent function, what effect does the 5 have in  f(x)=5(x+3)²-10 ?

• Vertical Stretch

• Vertical Compression

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

a

b

c

d

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

Label how each number transforms the function

b

c

d

e

Left 3

Reflected over the x-axis

Stretched by a factor of 2

Moves up 7

Right 3

a

b

c

d

Horizontal Translation

Vertical Dilation

Vertical Translation

Horizontal Dilation

a

b

c

d

e

up

reflected

left

right

down

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