Graphing Quadratic Functions Concepts

This video tutorial explains how to graph a quadratic function in factored form. It covers finding the roots by setting each factor to zero, plotting these roots on the x-axis, determining the axis of symmetry by averaging the roots, and calculating the vertex by substituting the axis of symmetry into the original equation. The tutorial provides a step-by-step guide to plotting these elements on a graph, ensuring a comprehensive understanding of graphing quadratic functions.

What is the first step in graphing a quadratic function in factored form?

• Find the vertex

• Determine the y-intercept

• Identify the roots

• Calculate the slope

How do you find the roots of a quadratic function in factored form?

• Divide the factors by two

• Multiply the factors together

• Add the coefficients of the factors

• Set each factor equal to zero and solve for x

What is the root of the factor x - 4?

• x = 0

• x = 4

• x = -2

• x = -4

After finding the roots, what is the next step in graphing the quadratic function?

• Calculate the vertex

• Find the y-intercept

• Plot the roots on the x-axis

• Determine the slope

Where do you plot the roots on the graph?

• On the y-axis

• On the origin

• On the x-axis

• On the line of symmetry

What is the Axis of Symmetry in a quadratic graph?

• The y-intercept

• The x-intercept

• The highest point on the graph

• A line that divides the graph into two equal parts

How can you find the Axis of Symmetry using the roots?

• Divide the roots by the coefficient of x

• Add the roots and divide by two

• Multiply the roots together

• Subtract the roots

What is the Axis of Symmetry for roots 4 and -2?

• x = 1

• x = 2

• x = 0

• x = -1

What is the final step in graphing a quadratic function?

• Plot the y-intercept

• Find the y-intercept

• Determine the slope

• Calculate the vertex

How do you find the vertex of a quadratic function?

• Use the y-intercept

• Use the Axis of Symmetry and substitute it into the original equation

• Multiply the roots

• Divide the roots by the coefficient of x