Learn how to graph an equation with a reflection and vertical shift, y = -2x^2 + 5

The video tutorial explains how to graph a quadratic equation in vertex form. It covers identifying the values of A, H, and K, understanding graph shifts and orientation, finding the vertex and axis of symmetry, and selecting points to plot the graph. The tutorial concludes with completing the parabola and addressing student engagement issues.

What are the components needed to graph a quadratic function in vertex form?

• m, n, and p

• x, y, and z

• a, h, and k

• a, b, and c

What effect does the value of h have on the graph of a quadratic function?

• Horizontal translation

• Reflection over x-axis

• Vertical translation

• Vertical stretch

If the value of a is negative, in which direction does the parabola open?

• To the right

• To the left

• Downwards

• Upwards

What is the vertex of the quadratic function y = -2x^2 + 5?

• (0, 5)

• (5, 0)

• (-2, 5)

• (0, 0)

What is the axis of symmetry for the function y = -2x^2 + 5?

• y = 5

• x = 5

• x = 0

• y = 0

How do you determine additional points to plot on the graph?

• Choose random values

• Use the axis of symmetry

• Select points near the vertex

• Calculate using the derivative

What is the y-value when x = 1 for the function y = -2x^2 + 5?

• -3

• -1

• 3

• 1