Front

What is an absolute value equation?

Back

An absolute value equation is an equation that contains an absolute value expression, which represents the distance of a number from zero on the number line.

Front

What does the graph of an absolute value function look like?

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.

Tags

CCSS.HSF-IF.C.7D

Front

What is the vertex of an absolute value function?

Back

Tags

CCSS.HSF-IF.C.7D

Front

How does the coefficient of the absolute value affect the graph?

Back

The coefficient (a) affects the steepness of the graph. If |a| > 1, the graph is steeper; if 0 < |a| < 1, the graph is wider.

Front

What does a negative coefficient in front of the absolute value indicate?

Back

A negative coefficient indicates that the graph opens downwards, creating a maximum point at the vertex.

Tags

CCSS.HSF-IF.C.7D

Front

How do you find the equation of an absolute value function from its graph?

Back

Tags

CCSS.HSF-IF.C.7D

Front

What is the effect of a vertical shift on the graph of an absolute value function?

Back

A vertical shift moves the graph up or down. If k is positive, the graph shifts up; if k is negative, it shifts down.

Front

What is the effect of a horizontal shift on the graph of an absolute value function?

Back

A horizontal shift moves the graph left or right. If h is positive, the graph shifts right; if h is negative, it shifts left.

Front

How do you determine the slope of the lines in an absolute value function?

Back

Tags

CCSS.HSF-IF.C.7D

Front

What is the significance of the y-intercept in an absolute value function?

Back

The y-intercept is the point where the graph crosses the y-axis, which can be found by substituting x = 0 into the equation.

Tags

CCSS.HSF-IF.C.7D