Sketching Graphs of Functions

Which function family do I belong to?

• exponential
•  piece-wise
• linear
• absolute value

What function family do I belong to?

• Linear
• Quadratic
• Exponential
• Linear Absolute Value

What function family do I belong to?

• Linear

• Exponential

• Quadratic

• Absolute Value

What function family do I belong to?

• Linear

• Quadratic

• Exponential

• Absolute Value

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

Name the parent function. 

• constant
• square root
• linear
• absolute value

If the blue graph is f(x) = x^2, then the red graph must be

• g(x) = x² - 5
• g(x) = x² + 5
• g(x) = (x - 5)²
• g(x) = (x + 5)²

If the blue graph is f(x)=|x|, the red graph must be:

• g(x)=|x+2|
• g(x)=|x|+2
• g(x)=|x-2|
• g(x)=|x|-2

  Determine the equation for the red graph.

• g(x) = (x - 3)²
• g(x) = x² - 3
• g(x) = x²+3
• g(x) = 3x²

Choose the correct translated function.

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