Quadratic Dilation

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

Label how each number transforms the function

b

c

d

e

Reflected over the x-axis

Left 3

Moves up 7

Stretched by a factor of 2

Right 3

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

e

left

right

down

reflected

up

Which list orders the quadratic functions from narrowest to widest?

• y = x² 
  y = 4x² 
  y = 2x² - 2  
  y = 0.5 x²

• y = 0.5 x²  
   y = x² 
  y = 2x² - 2 
  y = 4x²

• y = 4x² 
  y = 2x² - 2
   y = x² 
  y = 0.5 x²  

•  y = 2x² - 2
   y = 4x²
   y = 0.5x²
   y = x²

How did we transform from y=x^2?

y = -3x²

• vertical reflection and vertical shift down

• vertical reflection and vertical stretch

• horizontal stretch

• vertical reflection and vertical compression

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5

• y = 2(x + 4)² + 5

• y = -2(x - 4)² + 5

• y = -2(x + 4)² + 5

Match the description to its equation.
Reflected over the x-axis 
Stretched by a factor of 2

• A

• B

• C

• D

Given f(x) = ax² , if 0 < a < 1 , the graph will transform by

• becoming wider or vertically compressed

• becoming narrower or vertically stretched

What is the domain of the graph?

• All real numbers

• No Solution