pk Graphing AV/Ineq

Front

What is the graph of y=|x|−4?

Back

A V-shaped graph that opens upwards, with the vertex at (0, -4).

Front

Which function is graphed: f(x) = 2|x - 4| - 3, f(x) = 1/2|x + 4| - 3, f(x) = 1/2|x - 3| - 4, f(x) = 2|x + 3| + 4?

Back

f(x) = 1/2|x + 4| - 3.

Front

Identify the inequality: y > x+1, y ≤ 1x+1, y ≥ x+1, y ≤ x-1.

Back

y > x+1.

Front

What is the transformation of the function y=|x|?

Back

Flip and down 2.

Front

What is the graph of y=|x−2|+3?

Back

A V-shaped graph that opens upwards, with the vertex at (2, 3).

Front

What does the absolute value function |x| represent?

Back

The distance of x from 0 on the number line.

Front

How do you find the vertex of the function y=|x-h|+k?

Back

The vertex is at the point (h, k).

Front

What does the coefficient in front of |x| indicate?

Back

It indicates the vertical stretch or compression of the graph.

Front

What is the effect of adding a constant to the absolute value function?

Back

It shifts the graph vertically.

Front

What is the effect of subtracting a constant from the absolute value function?

Back

It shifts the graph vertically down.