Graphing a quadratic function in standard form

The video tutorial explains how to graph a quadratic equation in the form of y = ax^2, focusing on the equation y = -4x^2. It covers setting up the graph, choosing points, calculating Y coordinates, and graphing the parabola. Key features such as the vertex, axis of symmetry, and intercepts are discussed, emphasizing the symmetry of the graph.

What is the axis of symmetry for the quadratic equation y = -4x^2?

• x = 1

• x = -1

• x = 2

• x = 0

Which X coordinates are chosen to graph the quadratic equation y = -4x^2?

• -3, -2, 0, 2, 3

• -2, -1, 0, 1, 2

• -1, 0, 1, 2, 3

• -2, 0, 1, 3, 4

How do you calculate the Y coordinate for a given X in the equation y = -4x^2?

• Subtract 4 from X

• Add 4 to X

• Square X and multiply by -4

• Multiply X by 4

What is the shape of the graph for the equation y = -4x^2?

• An ellipse

• A parabola

• A circle

• A straight line

What is the significance of the axis of symmetry in a quadratic graph?

• It determines the width of the graph

• It shows the minimum value of X

• It indicates the maximum value of Y

• It splits the graph into two symmetrical halves

Where is the vertex located for the equation y = -4x^2?

• (1, 1)

• (0, 0)

• (-1, -1)

• (2, 2)

What are the X and Y intercepts for the equation y = -4x^2?

• (1, 0)

• (0, 1)

• (0, 0)

• (-1, 0)