Matching Equations to Quadratic Graphs

 

Describe the transformation that occurred

p(x) = f(x + 3)

• Right 3 units

• Vertical Stretch

• Up 3 units

• Left 3 units

 

Describe the transformation that occurred.

h(x) = f(x) + 2

• up 2 units

• left 2 units

• Vertical Stretch

• right 2 units

 

Describe the transformation that occurred

k(x) = f(x) - 9

• vertical compression

• down 9

• left 9

• right 9

Describe the transformations of f(x) when compared to the parent function. f(x)=(x+7)²

• horizontal shift left 7 units

• horizontal shift right 7 units

• vertical shift up 7 units

• vertical shift down 7 units

• Reflected across the x-axis

  2 Units Up

• Reflected across the x-axis

  2 Units Down

• Reflected across the y-axis

  2 Units Up

• Reflected across the y-axis

  2 Units Down

Describe the transformation

3(h(x)) 

• Vertically Stretched by a factor of 3

• Vertically Compressed by a factor of 3

• Horizontally Stretched by a factor of 3

• Horizontally Stretched by a factor of 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

If the blue graph is f(x), the red must be...

• g(x) = f(x + 3)

• g(x) = f(x - 3)

• g(x) = f(x) + 3

• g(x) = f(x) - 2

Describe the transformation from dotted to solid.

• g(x) = f(x + 5) + 3

• g(x) = f(x +3) + 5

• g(x) = f(x - 5) + 3

• g(x) = f(x - 3) + 5

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