Graphing Quadratic Equations in Vertex Form

This video tutorial explains how to graph a quadratic equation in vertex form without using a calculator. It covers the components of the vertex form, including the parameters a, h, and k, and their roles in determining the graph's shape and position. The tutorial guides viewers through finding the vertex, axis of symmetry, y-intercept, and x-intercepts, and concludes with plotting the graph using these points.

What is the general form of a quadratic equation in vertex form?

• y = a(x + h)^2 - k

• y = ax^2 + bx + c

• y = a(x - h)^2 + k

• y = a(x - h) + k

What does the 'a' value in the vertex form of a quadratic equation represent?

• The stretch or compression of the parabola

• The axis of symmetry

• The horizontal shift

• The vertical shift

If the 'a' value in a quadratic equation is positive, in which direction does the parabola open?

• To the right

• Downwards

• Upwards

• To the left

Given the quadratic equation y = 2(x + 1)^2 - 3, what is the vertex?

• (-1, -3)

• (-1, 3)

• (1, -3)

• (1, 3)

How do you find the axis of symmetry for the quadratic equation y = 2(x + 1)^2 - 3?

• Set y to 0

• Set the expression inside the parentheses to 0

• Set the equation to 1

• Set x to 0

What is the y-intercept of the quadratic equation y = 2(x + 1)^2 - 3?

• 1

• -1

• 0

• 2

To find the x-intercepts of the quadratic equation y = 2(x + 1)^2 - 3, what value should y be set to?

• 0

• 2

• -3

• 1

What are the x-intercepts of the quadratic equation y = 2(x + 1)^2 - 3?

• 2 and -2

• 0.23 and -2.23

• 1 and -1

• 0.5 and -0.5

What is the purpose of the axis of symmetry in graphing a quadratic equation?

• It gives the x-intercepts

• It helps in finding the vertex

• It determines the y-intercept

• It acts as a mirror line for the parabola

When plotting the graph of a quadratic equation, which point is plotted first?

• Axis of symmetry

• Y-intercept

• X-intercept

• Vertex