Graphical Solutions of Quadratic Functions: Finding Intercepts and Zeros

The video tutorial explains how to graphically solve quadratic functions by analyzing the intercepts of their graphs. It begins with an introduction to a quadratic equation representing a ball's path and discusses the significance of X intercepts. Various graph examples are provided to illustrate different scenarios of roots and zeros. The tutorial then focuses on solving the ball's path equation graphically, determining the time it takes for the ball to hit the ground. The lesson concludes with a review of the key concepts covered.

What does the equation Y = -4X^2 + 16X represent in the context of the video?

• The color of the ball

• The speed of the ball

• The path of the ball

• The weight of the ball

What is the significance of the X-intercept in a graph?

• It indicates where the graph crosses the X-axis

• It shows the maximum height of the graph

• It represents the slope of the graph

• It determines the color of the graph

How many roots or zeros does the graph of F(x) = X^2 + 2X - 3 have?

• One

• None

• Three

• Two

For the equation F(x) = -X^2 - 8X - 16, where is the zero located?

• -4

• 0

• 4

• 8

How long does it take for the ball to hit the ground according to the graph?

• 0 seconds

• 2 seconds

• 4 seconds

• 6 seconds