Graphing Absolute Value Functions: Key Concepts and Techniques

What is the primary focus of today's lesson?

• Graphing exponential equations

• Graphing quadratic equations

• Graphing absolute value equations

• Graphing linear equations

What happens to the X values when you subtract inside the parentheses?

• They move right

• They move left

• They move down

• They move up

How do you reflect a graph over the y-axis?

• Subtract a constant from the Y values

• Multiply the Y values by -1

• Add a constant to the X values

• Multiply the X values by -1

What is the effect of a vertical transformation on the Y values?

• It does not change any values

• It changes both X and Y values

• It changes the X values

• It changes the Y values

What is the last step when describing or graphing transformations?

• Horizontal shift

• Shift up or down

• Vertical stretch

• Reflection

What is the parent function for the absolute value equation?

• f(x) = x^2

• f(x) = |x|

• f(x) = e^x

• f(x) = 1/x

What shape does the parent graph of an absolute value function have?

• A parabola

• A straight line

• A V shape

• A U shape

What is the domain of the parent absolute value function?

• 0 to Infinity

• 0 to 1

• Negative Infinity to 0

• Negative Infinity to Infinity

What does a negative sign on the outside of an absolute value function indicate?

• A vertical stretch

• A reflection about the x-axis

• A reflection about the y-axis

• A horizontal shift

What is the final step in graphing an absolute value equation?

• Multiplying the X values

• Connecting the points

• Stating the domain and range

• Describing the transformations