Understanding Parabolas

The video tutorial explains how to graph a parabola using its equation. It starts by introducing the standard form of a parabola equation and then demonstrates how to convert it to the vertex form. The tutorial identifies the vertex and axis of symmetry, plots points, and graphs the parabola. Finally, it verifies the graph using Desmos.com and concludes the lesson.

What is the standard form of a parabola equation as referred to in the video?

• x^2 + 1 = 1/4(y - 3)

• y = mx + b

• y = ax^2 + bx + c

• y = a(x - h)^2 + k

What operation is performed to eliminate the one-fourth in the equation?

• Divide both sides by four

• Add four to both sides

• Multiply both sides by four

• Subtract four from both sides

In the vertex form of a parabola, what does the 'h' represent?

• The y-coordinate of the vertex

• The slope of the parabola

• The x-coordinate of the vertex

• The axis of symmetry

What is the vertex of the parabola given in the video?

• (3, -1)

• (1, -3)

• (-1, 3)

• (0, 3)

What is the y-intercept of the parabola as calculated in the video?

• (3, 0)

• (7, 0)

• (0, 7)

• (0, 3)

How is the axis of symmetry related to the vertex?

• It is a horizontal line through the vertex

• It is a vertical line through the vertex

• It is a diagonal line through the vertex

• It is a line parallel to the x-axis

What is the mirror image of the point (0, 7) on the parabola?

• (-2, 7)

• (1, 7)

• (2, 7)

• (-1, 7)

What tool is used to verify the graph of the parabola?

• Graphing calculator

• Desmos.com

• Microsoft Excel

• Google Sheets

What is the equation of the axis of symmetry for the parabola?

• y = 3

• y = -3

• x = 1

• x = -1

Which of the following points does the parabola pass through?

• (3, 0)

• (0, 7)

• (1, 7)

• (0, 3)