Graphing Absolute Value Functions

Front

What is an absolute value function?

Back

Front

How does the graph of an absolute value function look?

Back

The graph of an absolute value function is a V-shaped graph that opens upwards if the coefficient of the absolute value is positive and downwards if it is negative.

Front

Back

The vertex of the function is the point (h, k) on the graph, which is the minimum or maximum point depending on the direction the graph opens.

Front

What effect does the '+ k' have on the graph of an absolute value function?

Back

The '+ k' shifts the graph vertically by k units. If k is positive, the graph shifts up; if k is negative, it shifts down.

Front

What effect does the '- h' have on the graph of an absolute value function?

Back

The '- h' shifts the graph horizontally. If h is positive, the graph shifts to the right; if h is negative, it shifts to the left.

Front

What does the coefficient in front of the absolute value function do?

Back

The coefficient affects the steepness of the graph. A larger coefficient makes the graph steeper, while a smaller coefficient makes it flatter.

Front

How do you write the equation of an absolute value function that opens downwards?

Back

Front

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The graph is shifted 3 units to the right and 2 units up.

Front

How do you determine the x-intercepts of an absolute value function?

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To find the x-intercepts, set the function equal to zero and solve for x.

Front

What is the domain of an absolute value function?

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