Families of Functions Transformations

• square root

• absolute value

• linear

• quadratic

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

• Horizontal translation left

• Vertical shrink

• Vertical translation down

• Horizontal translation right

• Vertical stretch

• translates it left one unit and down 9 units

• translates it right one unit and down 9 units

• translates it up one unit and right 9 units

• translates it down one unit and left 9 units

• Shrinks the graph vertically by a factor of 1/3 and translates up 4 units.

• Stretches the graph by a factor of 3 and translates up 4 units.

• Translates the graph left 1/3 of a unit and up 4 units.

• Translates the graph right 3 unites and down 4 units.

Which of the following are contained in the pictured graph

• A minimum

• a maximum

• a quadratic function

• an absolute value function

• a y-intercept at 0.

What is the equation of the graph below?

• f(x ) = I x + 4 I + 2
• f(x ) = -I x - 4 I + 2
• f(x ) = I x - 4 I + 2
• f(x ) = -I x + 4 I + 2