Graphing Quadratic Functions Concepts

The video tutorial covers the process of graphing the quadratic function f(x) = x^2 - 8x + 15. It begins with an introduction to the concept and proceeds to explain how to find the axis of symmetry using the formula x = -b/2a. The tutorial then discusses determining the graph's orientation and vertex, followed by creating a table of values to plot points. Finally, it demonstrates plotting these points and using symmetry to complete the graph.

What is the quadratic function that the teacher is graphing?

• f(x) = x^2 + 8x - 15

• f(x) = x^2 - 8x - 15

• f(x) = x^2 - 8x + 15

• f(x) = x^2 + 8x + 15

What is the first step in graphing the quadratic function?

• Determine the axis of symmetry

• Create a table of values

• Determine the vertex

• Find the y-intercept

What is the formula for the axis of symmetry?

• x = -b / 2a

• x = 2a / b

• x = -b / a

• x = b / 2a

What is the axis of symmetry for the function f(x) = x^2 - 8x + 15?

• x = 2

• x = -4

• x = 4

• x = -2

How do you determine if the graph opens upwards or downwards?

• By checking the value of b

• By checking the value of c

• By checking the value of a

• By checking the value of x

If a is greater than zero, how does the graph open?

• Upwards

• Downwards

• To the left

• To the right

What is the vertex of the function f(x) = x^2 - 8x + 15?

• (4, 1)

• (4, -1)

• (-4, -1)

• (-4, 1)

What should you do after finding the vertex?

• Find the y-intercept

• Determine if the graph opens up or down

• Create a table of values

• Determine the axis of symmetry

What is the f(x) value when x = 3 for the function f(x) = x^2 - 8x + 15?

• 3

• 0

• 1

• -1

How can you use symmetry to find additional points on the graph?

• By reflecting points across the y-axis

• By reflecting points across the x-axis

• By reflecting points across the axis of symmetry

• By reflecting points across the origin