Graphing Parabolas in Vertex Form

The video tutorial explains how to graph a quadratic equation in the form y = -2(x-2)^2 + 5. It begins by identifying the vertex of the parabola, which is the maximum point at (2, 5). The tutorial then demonstrates how to find additional points equidistant from the vertex to fully determine the parabola. By calculating the y-values for x = 1 and x = 3, the points (1, 3) and (3, 3) are found, allowing the complete graph of the parabola to be plotted.

What is the general form of the quadratic equation discussed in the video?

• y = -2(x - 2)^2 + 5

• y = 2(x + 2)^2 - 5

• y = -2(x + 2)^2 + 5

• y = 2(x - 2)^2 - 5

What is the nature of the term (x - 2)^2 in the equation?

• Always positive

• Always non-negative

• Always zero

• Always negative

Tags

CCSS.HSF-IF.C.7A

At what x-value does the vertex of the parabola occur?

• x = 3

• x = 0

• x = 1

• x = 2

What is the maximum value of y in the graph?

• y = 10

• y = 0

• y = 3

• y = 5

Tags

CCSS.HSF-IF.C.7A

Which point is the vertex of the parabola?

• (1, 3)

• (2, 5)

• (3, 3)

• (0, 0)

What y-value does the point (1, 3) correspond to?

• y = 2

• y = 5

• y = 3

• y = 0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What y-value does the point (3, 3) correspond to?

• y = 2

• y = 5

• y = 0

• y = 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

How many points are needed to completely determine the shape of the parabola?

• Five points

• Four points

• Three points

• Two points

Tags

CCSS.HSF-IF.C.7A

What is the y-value when x equals 2 in the equation?

• y = 0

• y = 3

• y = 5

• y = 2

Tags

CCSS.HSF.IF.A.2

Which of the following points is not on the parabola described in the video?

• (1, 3)

• (0, 0)

• (2, 5)

• (3, 3)

Tags

CCSS.HSF-IF.C.7A