Unit 5 Review - Warm Up

Front

What is the general form of an absolute value function?

Back

The general form of an absolute value function is f(x) = |x - h| + k, where (h, k) is the vertex of the graph.

Front

How does the graph of f(x) = |x| differ from f(x) = |x + c|?

Back

The graph of f(x) = |x + c| is translated left by c units compared to f(x) = |x|.

Front

What does the vertex of an absolute value function represent?

Back

The vertex of an absolute value function represents the minimum or maximum point of the graph, depending on the orientation.

Front

How do you determine the vertex of the function f(x) = |x - 3| - 2?

Back

The vertex can be determined from the function's form: (h, k) = (3, -2).

Front

What effect does adding a constant outside the absolute value have on the graph?

Back

Adding a constant outside the absolute value function translates the graph vertically.

Front

What is the vertex of the function f(x) = |x - 2|?

Back

The vertex of the function f(x) = |x - 2| is (2, 0).

Front

How does the graph of f(x) = |x| + k differ from f(x) = |x|?

Back

The graph of f(x) = |x| + k is translated vertically upward by k units compared to f(x) = |x|.

Front

What is the effect of a negative sign in front of the absolute value function, such as in f(x) = -|x|?

Back

A negative sign in front of the absolute value function reflects the graph across the x-axis.

Front

How do you find the x-intercepts of the function f(x) = |x - 2|?

Back

To find the x-intercepts, set f(x) = 0 and solve for x: |x - 2| = 0, which gives x = 2.

Front

What transformation does the function f(x) = |x + 4| + 3 represent?

Back

The function f(x) = |x + 4| + 3 represents a translation left 4 units and up 3 units from the origin.