Absolute Value Vertex Form Concepts

This video tutorial covers the absolute value vertex form, explaining how it simplifies graphing. It details how to identify the vertex and slope from the equation, providing examples for better understanding. The tutorial also covers graphing inequalities and demonstrates graphing with a negative A value, emphasizing the ease of this method compared to using a table.

What is the primary benefit of using the absolute value vertex form in graphing?

• It makes graphing faster and easier.

• It eliminates the need for a calculator.

• It simplifies the equation.

• It provides exact solutions.

How can you identify the vertex from the absolute value vertex form equation?

• By adding the numbers inside and outside the absolute value.

• By multiplying the numbers inside and outside the absolute value.

• By looking at the coefficients of x.

• By changing the sign of the number inside the absolute value and keeping the outside number the same.

What is the significance of the vertex in the absolute value vertex form?

• It is the point where the graph intersects the x-axis.

• It is the point where the graph intersects the y-axis.

• It is the highest or lowest point on the graph.

• It determines the direction of the graph.

What does the 'a' value in the absolute value vertex form indicate?

• The y-intercept of the graph.

• The width of the graph.

• The slope of the line on both sides of the vertex.

• The x-intercept of the graph.

What is the effect of a positive 'a' value in the absolute value vertex form?

• The graph does not change.

• The graph opens upwards.

• The graph opens downwards.

• The graph becomes a straight line.

In the equation f(x) = |x - 2| - 4, what is the vertex?

• (2, -4)

• (-2, 4)

• (2, 4)

• (-2, -4)

For the equation f(x) = |x - 2| - 4, what is the slope on the right side of the vertex?

• 1

• -2

• -1

• 2

In the equation f(x) = |x - 2| - 4, what is the slope on the left side of the vertex?

• 2

• -1

• 1

• -2

In the equation f(x) = |x - 2| - 4, what is the y-intercept?

• 4

• 0

• 2

• -4

In the equation f(x) = |3x + 5|, what is the vertex?

• (0, -5)

• (0, 5)

• (5, 0)

• (-5, 0)