Parent Functions and Transfromations

Identify the parent function of the graph.

• Quadratic

• Rational

• Absolute Value

• Cubic

Identify the parent function of the graph.

• Logarithmic

• Linear

• Absolute Value

• Cubic

Identify the parent function of the graph.

• Quadratic

• Square Root

• Absolute Value

• Cubic

• Reflect over y-axis

• Reflect over x-axis

• Stretch by a factor 2

• Right 2 units

• Up 2 units

• Reflect over x-axis,

• Stretch by a factor of 2

• Compressed by a factor 2

• Down 3 units

• Right 3 units

• Right 3 units

• Left 3 units

• Down 2 units

• Compressed by a factor of 1/2

• Stretch by a factor of 2

Choose the equation that best matches the graphed function.

What is the equation of this graph?

• f(x) = (x -5)² + 1
• f(x) = (x - 1)² - 5
• f(x) = (x + 1)² - 5
• f(x) = (x + 5)² +1

Write a quadratic function given the following transformations:

Up 3 units

Right 4 units

Write an absolute value function given the following transformations:
Reflection across the x-axis
Right 2 units
Down 7 units

• y = -|x + 2| - 7 
• y = |x - 2| - 7 
• y = -|x - 2| - 7
• y = -|x - 2| + 7