Understanding Quadratic Functions

Brandon Gley, a high school math teacher, demonstrates how to graph a quadratic equation using a table of values. He starts with the equation Y = x^2 + 2, explaining how to create a table of values by substituting x values into the equation to find corresponding y values. He plots these points on a graph, highlighting the symmetry and vertex of the parabola. The video emphasizes understanding the U-shaped curve of parabolas and the significance of the vertex, which is the midpoint of the curve. The tutorial concludes with completing the graph by adding more points and reinforcing the concept of symmetry.

What is the purpose of using a table of values when graphing a quadratic equation?

• To find the slope of the line

• To determine the x-intercepts

• To calculate corresponding y-values for given x-values

• To identify the axis of symmetry

What is the quadratic equation used in the video?

• y = x^2 + x

• y = 2x^2 + 2

• y = x^2 + 2

• y = x^2 - 2

What is the y-value when x = 0 for the equation y = x^2 + 2?

• 0

• 2

• 1

• 3

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

• 1

• 3

• 4

• 2

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

• 3

• 2

• 4

• 1

What does it indicate when a y-value is repeated in a quadratic equation?

• The graph has no vertex

• The graph is a straight line

• The graph is a circle

• The graph is symmetric

What is the shape of the graph of a quadratic equation?

• A straight line

• A U-shaped curve

• A circle

• A zigzag line

What is the vertex of a parabola?

• The point where the graph intersects the x-axis

• The highest point on the graph

• The lowest point on the graph

• The point where the graph intersects the y-axis

What is the y-value when x = 2 for the equation y = x^2 + 2?

• 7

• 5

• 4

• 6

What is the y-value when x = -2 for the equation y = x^2 + 2?

• 4

• 5

• 6

• 7