Graphing Quadratic Functions in Factored Form

This video tutorial explains how to graph a quadratic function given in factor form. It covers finding the X-intercepts using the zero product property, determining the Y-intercept by setting x to zero, and calculating the axis of symmetry and vertex. The tutorial concludes with sketching the parabola using these points and symmetry.

What points are necessary to accurately sketch the graph of a quadratic function?

• X-intercepts, Y-intercept, and vertex

• X-intercepts and Y-intercept only

• Vertex and Y-intercept only

• X-intercepts and vertex only

What is an X-intercept?

• A point where the y-coordinate is non-zero

• A point where the x-coordinate is non-zero

• A point where the parabola intersects the x-axis

• A point where the parabola intersects the y-axis

How do you find the X-intercepts of a quadratic function given in factor form?

• Set both coordinates to zero and solve

• Set the x-coordinate to zero and solve for y

• Set the x-coordinate to one and solve for y

• Set the y-coordinate to zero and solve for x

What is the Y-intercept of a quadratic function?

• A point where the parabola intersects the x-axis

• A point where the y-coordinate is non-zero

• A point where the parabola intersects the y-axis

• A point where the x-coordinate is non-zero

How do you find the Y-intercept of a quadratic function given in factor form?

• Set the x-coordinate to zero and solve for y

• Set the y-coordinate to zero and solve for x

• Set the y-coordinate to one and solve for x

• Set both coordinates to zero and solve

What is the axis of symmetry in a quadratic function?

• A point where the parabola intersects the x-axis

• A horizontal line that divides the parabola into two symmetrical halves

• A point where the parabola intersects the y-axis

• A vertical line that divides the parabola into two symmetrical halves

How do you find the x-coordinate of the vertex in a quadratic function?

• By averaging the y-coordinates of the X-intercepts

• By averaging the x-coordinates of the X-intercepts

• By averaging the y-coordinates of the Y-intercepts

• By averaging the x-coordinates of the Y-intercepts

What is the y-coordinate of the vertex if the x-coordinate is 4?

• 2

• 0

• -4

• 4

What is the final step in sketching the graph of a quadratic function?

• Finding the X-intercepts

• Finding the Y-intercept

• Identifying the axis of symmetry

• Joining the points to produce the graph

How many points away from the axis of symmetry should you plot to complete the graph?

• 5 points

• 3 points

• 2 points

• 4 points