Variation of Parameters in Functions and Relations — Australian Curriculum (ACARA) Grade 9 Mathematics Worksheet (Set 1)

Australian Curriculum (ACARA)

Grade 9

Mathematics

40 questions

Generalising emerging patterns from the variation of parameters on functions and relations (ACARA AC9M9A06), from a pattern-generalisation angle.

One Word Answer
True or False

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Variation of Parameters in Functions and Relations

A worksheet to practice generalising patterns from the variation of parameters on functions and relations. Total: 40 marks.

Section A: True or False Statements [20 Marks]

For each statement, determine if it is true or false and explain your reasoning.

True or false: In the linear equation y = mx + c, increasing the value of `c` shifts the line horizontally. Explain your reasoning.

True False

True or false: A negative value for the gradient `m` in y = mx + c means the line slopes downwards from left to right. Explain your reasoning.

True False

True or false: Changing the parameter `a` in y = ax^2 affects the y-intercept of the parabola. Explain your reasoning.

True False

True or false: In the quadratic equation y = (x-h)^2, a positive value for `h` shifts the parabola to the right. Explain your reasoning.

True False

True or false: In the quadratic equation y = x^2 + k, a negative value for `k` shifts the parabola upwards. Explain your reasoning.

True False

Section B: Identify the Effect [20 Marks]

Answer the following questions with a single word, number, or short phrase.

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