Evaluating Quadratic Functions and Zeros

The video tutorial covers solving quadratic equations by graphing and factoring. It begins with an introduction to the topic, followed by a detailed explanation of finding zeros using graphs. The process of calculating the vertex is demonstrated, and a table is used to identify zeros. A second example is provided to reinforce the concepts, preparing viewers for part two, which will cover factoring methods.

What is the primary focus of this video tutorial?

• Solving differential equations

• Solving cubic equations

• Solving quadratic equations by graphing and factoring

• Solving linear equations

What are we looking for when finding zeros of a quadratic equation using a graph?

• Where the graph touches the y-axis

• Where the graph touches the x-axis

• Where the graph intersects the origin

• Where the graph is at its highest point

What is the formula to find the vertex of a quadratic equation?

• a/2b

• b/2a

• -b/2a

• -a/2b

What is the x-value of the vertex for the equation x^2 + 2x - 3?

• 1

• 2

• 0

• -1

What is the y-value of the vertex for the equation x^2 + 2x - 3?

• -1

• -4

• 0

• 4

What is the significance of the vertex in a quadratic graph?

• It is the midpoint of the graph

• It is the point where the graph intersects the x-axis

• It is the highest or lowest point of the graph

• It is the point where the graph intersects the y-axis

What is the symmetry property of a quadratic graph?

• It is symmetrical about the vertex

• It is symmetrical about the x-axis

• It is symmetrical about the origin

• It is symmetrical about the y-axis

What is the first step in solving a quadratic equation by graphing?

• Finding the y-intercept

• Finding the zeros

• Finding the vertex

• Finding the slope

What is the first zero found for the equation x^2 + 2x - 3?

• 2

• 0

• -3

• 1

What is the second zero found for the equation x^2 + 2x - 3?

• 0

• 2

• -3

• 1