Exploring Absolute Value Functions in Graphing

What is the shape of the graph of the parent function of an absolute value function?

• A circle

• A V shape

• A parabola

• A straight line

What is the vertex of the parent function f(x) = |x|?

• (-1, -1)

• (0, 0)

• (1, 1)

• (2, 2)

What is the domain of absolute value functions?

• All integers

• All positive numbers

• All real numbers

• All negative numbers

When using a T-chart to plot points for f(x) = |x|, what is the value of f(-2)?

• 0

• 2

• 1

• -2

How does the graph of g(x) = |x| - 3 differ from the parent function?

• It shifts up by 3 units

• It shifts down by 3 units

• It shifts left by 3 units

• It shifts right by 3 units

What is the vertex of the function g(x) = |x| - 3?

• (3, 0)

• (0, 3)

• (0, -3)

• (-3, 0)

What effect does a negative sign in front of the absolute value function have on its graph?

• It shifts the graph down

• It shifts the graph up

• It reflects the graph over the x-axis

• It reflects the graph over the y-axis

What does a vertical shrink by a factor of 1/2 do to the graph of an absolute value function?

• Makes it wider

• Shifts it up

• Shifts it down

• Makes it narrower

What is the vertex form of an absolute value function?

• f(x) = a(x - h)^2 + k

• f(x) = a|x - h| + k

• f(x) = a|x + h| - k

• f(x) = a(x + h)^2 - k

In the function g(x) = |x| - 3, what is the range?

• y ≤ 3

• y ≥ -3

• y ≤ -3

• y ≥ 3