Variation of Parameters in Functions and Relations — Australian Curriculum (ACARA) Grade 9 Mathematics Worksheet (Set 2)

Australian Curriculum (ACARA)

Grade 9

Mathematics

24 questions

Full mixed revision of variation of parameters in functions and relations (ACARA AC9M9A06).

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Variation of Parameters in Functions and Relations

A revision worksheet on how changing parameters affects the graphs of linear and quadratic functions. Total marks: 24.

Section A: Multiple Choice Questions

Choose the single best answer for each question.

How does the graph of y = 3x^2 compare to the graph of y = x^2?

It is wider. It is narrower. It is shifted up. It is shifted to the right.

The graph of y = (x - 5)^2 is a translation of the graph of y = x^2 by:

5 units to the left 5 units up 5 units down 5 units to the right

What effect does the parameter c have on the graph of a linear function y = mx + c?

It determines the gradient. It determines the x-intercept. It determines the y-intercept. It reflects the graph in the x-axis.

The graph of y = -x^2 is a reflection of the graph of y = x^2 in which axis?

The x-axis The y-axis The line y = x The origin

Which of the following lines is the steepest?

y = 2x - 7 y = -5x + 2 y = 0.5x + 1 y = x

Section B: Fill in the Blanks

Complete each statement with the correct word or value.

Section C: True or False

Determine if each statement is true or false.

Section D: Short Answer

Provide a one-word or short numerical answer for each question.

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