Transformations Graphs

Which equation is shown?

• y = (x-2)²

• y = (x+2)²

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = -x² - 5

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x) = 2x²

• g(x) = 1/2x²

• g(x) = x² + 2

• g(x) = (x + 2)²

Name the parent function. 

• constant

• square root

• linear

• absolute value

Name the parent function.

• quadratic

• cubic

• square root

• logarithmic

Given the function below - describe the transformation and give the name of the parent function. f(x) = (x + 3)² - 6

• Quadratic

  Left 3

  Down 6

• Quadratic

  Right 3

  Down 6

• Linear

  Right 3

  Up 6

• Linear

  Left 3

  Down 6

The parent function is indicated by the dotted curve. Determine the correct equation for the function graphed.

• f(x) = |x +3|

• f(x) = -|x| + 3

• f(x) = -(x + 3)²

• f(x) = -x² + 3

Given the function below - describe the transformation and

give the name of the parent function.

f(x) = -|x - 4| + 8

• Absolute Value

  Reflect

  Right 4

  Up 8

• Quadratic

  Right 4

  Up 8

• Absolute Value

  Right 4

  Up 8

• Absolute Value

  Reflect

  Left 4

  Up 8

The parent function is indicated by the dotted curve. Determine the correct equation for the function graphed.

• f(x) = -|x + 1| - 5

• f(x) = |x - 1| + 5

• f(x) = |x - 1| - 5

• f(x) = |x + 1| - 5

• Square Root

  Right 4

  Down 5

• Square Root

  Left 4

  Down 5

• Cube Root

  Left 4

  Down 5

• Cube Root

  Right 4

  Up 5