Learn how to graph a quadratic

The video tutorial explains how to graph the quadratic function f(x) = x^2 - 8x + 15. It covers determining the axis of symmetry using the formula x = -b/2a, identifying the graph's orientation based on the value of 'a', and finding the vertex. The tutorial also demonstrates creating a table of values to plot points on the graph and using symmetry to complete the graph. The teacher provides step-by-step instructions and tips to make the process easier.

What is the formula used to find the axis of symmetry for a quadratic function?

• x = -a/2b

• x = b/2a

• x = a/2b

• x = -b/2a

If the coefficient 'a' in a quadratic equation is positive, in which direction does the parabola open?

• Upwards

• To the right

• To the left

• Downwards

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

• 8

• 6

• 4

• 2

How do you find the y-coordinate of the vertex once you have the x-coordinate?

• Subtract the x-coordinate from the constant term

• Plug the x-coordinate into the original equation

• Multiply the x-coordinate by 2

• Divide the x-coordinate by 2

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

• 2

• 1

• 0

• -1

When plotting additional points on a parabola, why is it useful to choose points close to the vertex?

• Because it is easier to calculate

• Because it reduces errors

• Because it makes the graph look symmetrical

• Because the quadratic function changes rapidly

What is the benefit of using the axis of symmetry when plotting points on a parabola?

• It shows the direction of the parabola

• It simplifies the equation

• It determines the maximum value of the function

• It helps in finding symmetrical points on the graph