8.1 Parabola

Example 1

Draw the graph of quadratic equation y = x² – 3x + 5. What is the minimum point? What is the axis of symmetry? What are the x and y-intercepts?

Example 2

Which one of the following equations best describe the graph below?

You might find the following videos helpful related to this section:

8C Quadratic Functions (1 of 4)

by Mr Bodgers (click to view channel)

Explains what a quadratic function and a parabola looks like.

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8C Quadratic Functions (2 of 4)

by Mr Bodgers (click to view channel)

Completes an example where a quadratic functions is plotted on a graph using a table of values.

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8C Quadratic Functions (3 of 4)

by Mr Bodgers (click to view channel)

Uses Desmos to explain how to perform transformations on the basic parabola.

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8C Quadratic Functions (4 of 4)

by Mr Bodgers (click to view channel)

This is an interactive graphing activity. You are asked to create 5 different parabolas that pass through a series of points.

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8D Quadratic Models (1 of 2)

by Mr Bodgers (click to view channel)

This example uses a quadratic function to model a practical problem.

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8D Quadratic Models (2 of 2)

by Mr Bodgers (click to view channel)

Completes an example on a cars stopping distance using a quadratic function.

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The following are the types of questions you can expect in exam:

– 8.1.1 Exam Question Type 1

– 8.1.2 Exam Question Type 2

Study notes of this section and other resources can be accessed here:

– 8.1.3 Study Notes & Resources