Absolute Value Graphs and Transformations

Front

What is the vertex of the function f(x) = -3|x - 1| + 7?

Back

(1, 7)

Front

Match the equation to its description: f(x) = -3|x - 1| + 7

Back

Right 2 and up 2

Front

Describe the transformation f(x) + 3

Back

3 Units Up

Front

Describe the transformations g(x + 4) - 6

Back

4 Units Left, 6 Units Down

Front

Describe the transformation f(x) - 6

Back

6 Units Down

Front

What does the absolute value function graph look like?

Back

A V-shaped graph that opens upwards or downwards depending on the coefficient.

Front

What effect does a negative coefficient have on the absolute value function?

Back

It reflects the graph across the x-axis.

Front

How does the graph of f(x) = |x| change when you add a constant to x, like f(x) = |x - 2|?

Back

It shifts the graph 2 units to the right.

Front

What is the effect of adding a constant outside the absolute value, like in f(x) = |x| + 3?

Back

It shifts the graph 3 units up.

Front

If f(x) = |x|, what is the value of f(-3)?

Back

3