Graphing linear functions

#s in the absolute value with the x (as shown here) effects shifts on which axis?

• x-axis

• y-axis

The branch graphed on opposite sides of the parent function is a

• Stretch

• Shrink

• Reflection

• Rotation

Let f(x) = -|x| + 3, Graph g(x) = f(x-1). Describe the transformation from the graph of f to the graph of g.

• The graph of g is a horizontal translation 1 unit to the left

• The graph of g is a horizontal translation 1 unit up

• The graph of g is a horizontal translation 1 unit to the right

• The graph of g is a horizontal translation 1 unit down

Answer explanation

The graph flipped across the x-axis which is VERTICAL, so a negative is needed on the OUTSIDE.

Tags

2a.6c

Which of the following functions have been inverted, stretched and moved up when compared to the parent function?

• vertically stretched
• vertical compressed

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected Horizontally.

What is the value of k?

f(x) = 4|x +2| - 3

The number behind the grouping symbol determines

• Stretch or Shrink

• Reflection over the axis

• Left or Right Translation

• Up or down Translation

Tags

A1.F-BF.B.3

A2.F-IF.C.7.b

Which function has the following transformations from the parent function?

Reflected across the x-axis, shifted right 2 units and down 7 units