Understanding Parabolas

The video tutorial explains how to graph a parabola from a given equation by converting it into vertex form. It covers the steps to rewrite the equation, identify the vertex, and plot strategic points to accurately graph the parabola. The tutorial also discusses the axis of symmetry and verifies the graph using Desmos.

What is the form of the equation y^2 + 2 = -4(x - 1) commonly referred to as?

• Standard form

• Vertex form

• Quadratic form

• Slope-intercept form

What operation is performed to both sides of the equation to begin rewriting it?

• Add 4

• Divide by 4

• Multiply by -1/4

• Subtract 2

In the vertex form of a parabola, what does the 'h' in (h, k) represent?

• The y-coordinate of the vertex

• The x-coordinate of the vertex

• The axis of symmetry

• The slope of the parabola

What is the axis of symmetry for the given parabola?

• Vertical

• Horizontal

• Diagonal

• None

When y = 0, what is the x-coordinate of the point on the parabola?

• 2

• -1

• 1

• 0

What is the significance of the point (0, -4) in relation to the parabola?

• It is the focus

• It is the vertex

• It is a point on the axis of symmetry

• It is a mirror image point

Why is y = 2 chosen as a strategic value for plotting?

• It is the maximum point

• It is the axis of symmetry

• It simplifies calculations

• It is the vertex

What is the x-coordinate when y = 2?

• -3

• 1

• 0

• 3

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

• Desmos

• GeoGebra

• Wolfram Alpha

• Graphing Calculator

What is the vertex of the parabola as verified by Desmos?

• (0, 0)

• (1, -2)

• (-1, 2)

• (2, -1)