Exploring Graphs of Absolute Value Functions

What is the shape of an absolute value graph?

• A straight line

• A U-shape

• A V-shape

• A circle

For the equation y = |x - 2|, what is the x-component of the vertex?

• -2

• 0

• 2

• 1

For the equation y = |x - 2|, what are the x-intercepts?

• 3 and -3

• 0 and 2

• 1 and -1

• 2 and -2

What is the vertex of the equation y = |x| + 1?

• 0, 1

• 1, 0

• 1, 1

• 0, -1

Why does the graph of y = |x| + 1 not cross the x-axis?

• Because the vertex is at the origin

• Because the absolute value cannot be negative

• Because the y-intercept is positive

• Because the x-intercept is negative

For the equation y = |x + 4|, what is the vertex?

• -4, 0

• 4, 0

• 0, -4

• 0, 4

How do you find the y-intercept of the equation y = |x + 4|?

• Set y to 1 and solve for x

• Set x to 1 and solve for y

• Set x to 0 and solve for y

• Set y to 0 and solve for x

What is the y-intercept of the equation y = |x + 4|?

• -4

• 4

• 2

• 0

For the equation y = |x - 1| + 3, what is the vertex?

• -1, -3

• 1, 3

• -1, 3

• 1, -3

What is the y-intercept of the equation y = |x - 1| + 3?

• 4

• 3

• 2

• 1