Transformation Using Function Notation

If the original graph is f(x) and the new graph has been moved 3 to the right, how would one write that in function notation?

• f(x - 3)

• f(x + 3)

• f(x) + 3

• f(x) - 3

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal shift left one unit

• Horizontal shift right one unit

• Vertical shift up one unit

• Vertical shift down one unit

Using the parent function y=3^x what would the graph of y=3^x - 1 look like?

• Horizontal Shift to the right 1 unit

• Horizontal shift to the left one unit

• Vertical shift one unit up

• Vertical shift one unit down

The original graph is f(x). The new graph has been moved up 3 and to the right 4. The new graph is:

• f(x + 3) - 4

• f(x - 4) + 3

• f(x + 4) + 3

• f(x + 3) + 4

Which notation indicates a reflection over the x-axis

• f(-x)

• -f(x)

If f(x) = 3x - 9, find f(5).

• f(5) = 6

• f(5) = 16

• f(5) = -4

• f(5) = 24

Which function is graphed?

• f(x) = -|2x - 3| + 5

• f(x) = -|x + 5| - 3

• f(x) = -|2x + 6| + 5

• f(x) = -2|x + 5| - 3

What piece of information does k identify in the following equation? y = a(x - h)² + k

• y value of the vertex

• x value of the vertex

• Direction (facing up or down)

• x-intercept

• left 1 unit, down 2 units, vertical stretch by 3

• left 1 unit, up 2 units, vertical stretch by 3

• left 1 unit, up 2 units, vertical stretch by 1/3

• right 1 unit, up 2 units

Describe the transformation.

• Down 1

• Reflect over y-axis

• Up 1

• Reflect over x-axis