Transformation Form of Functions

• -f(2x - 4)

• f(1/2x) - 4

• -f(2x) - 4

• -f(1/2x) - 4

Identify the transformations. 

• horizontal shift to the left 2 and vertical stretch by a factor of 3

• horizontal shift to the right 2 and vertical stretch by a factor of 3

• horizontal shift to the right 2 and vertical shrink by a factor of 3

• horizontal shift to the left 2 and vertical shrink by a factor of 3

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) to the new function
 y = f(1/5x)

• Horizontal shrink by a factor of 1/5

• Vertical stretch be a factor of 5

• Vertically shrink by a factor of 1/5

•  Horizontal stretch by a factor of 5

Tags

CCSS.HSF.BF.B.3

The vertex of the quadratic function f(x) in the picture (2, -2). If g(x) = f(x) - 4, what is the vertex of g(x)?

• (2, -6)

• (2, 2)

• (-2, -2)

• (6, -2)

Pablo throws a ball with a path of
h = -5(t - 2)².
Maria throws a ball with a path of
h = -5(t - 2)² + 10.
Which description is reasonable for the difference in the two equations?

• Maria throws the ball 10 times harder than Pablo does.

• Maria starts her ball at a height 10 feet higher than Pablo does.

• Pablo throws the ball 10 times harder than Maria does.

• Pablo starts his ball at a height 10 feet higher than Maria does.

Which of the following is a transformation of the graph y = (x - 5)² ? 

• Shifts right 5.

• Shifts left 5.

• Shifts up 5.

• Shifts down 5.

Which of the following is a transformation of the graph y = 3x².

• Shifts up 3.

• Shifts left 3.

• Vertical stretch by a factor of 3.

• Shifts right 3.

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

Tags

CCSS.HSF-IF.C.7A

A change that shifts a graph horizontally, vertically, or both. This does not change the shape of the graph.

• Translation

• Transformation

• Vertex

• Reflection

Change in the position, size, or shape of a parent graph

• Translation

• Transformation

• Vertex

• Reflection