Parent Functions and Their Transformation

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

• Linear

• Absolute Value

• Exponential

• Square root

Identify the parent function of the graph.

• Logarithmic

• Linear

• Absolute Value

• Cubic

Which transformations, from the parent function, are indicated by the following equation? f(x)= - (x - 1)^2 + 4

• flip over x

• right 1

• left 1

• up 4

• down 4

What are the transformations from the parent? y = (x + 2)^3 + 5

• right 2

• left 2

• up 5

• down 5

Choose the transformations from the parent function, given f(x) = |x+3|+2

• right 3

• left 3

• up 2

• down 2

• flip over x

What are the transformations from the parent function based on this equations, y = | x - 1 |

• left 1

• right 1

• up 1

• down 1

What transformations happen from the parent function, for the equation f(x) = x^2 + 3 ?

• left 3

• right 3

• up 3

• down 3

• The minimum of the transformation has moved down 4 spaces and three spaces to the left.

• The maximum of the transformation has moved up 4 spaces and three spaces to the right.

• The minimum of the transformation has moved up 4 spaces and three spaces to the right.

• The maximum of the transformation has moved down 4 spaces and three spaces to the left.

Which parent function matches the graph?

• y = |x|

• y = ∛(x)

• y = x²

• y = ab^x