VC2M9A07 Official strand: Algebra

Explore graph parameters

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Compare shifts and stretches by changing parameters and testing points.

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For y = (x − (-5))² + (-2), find y when x = -3.

A12 B2 C3 D1

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Answer: 2

First calculate x − (-5) = 2.
Square 2 to get 4.
Add -2 to get 2.
(-3) − (-5) = 2.
(2)^2 = 4.
4 + (-2) = 2.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Compare shifts and stretches by changing parameters and testing points.

Read the official VCAA curriculum description (VC2M9A07)

These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.

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Supported by the guided activity; selecting an MCQ does not demonstrate this action.

VC2M9A07-C01Interpret the brackets in y = (x − h)² + k.
VC2M9A07-C02Use digital sliders and generalise the observed parameter effects.
VC2M9A07-C03Compare y = x² with y = ax² + c.
VC2M9A07-C04Experiment with related functions and connect algebraic and graphical patterns.
VC2M9A07-C05Apply and explain explore graph parameters using read and connect representations.
VC2M9A07-C06Apply and explain explore graph parameters using calculate and explain each step.

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Subskills

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Descriptor-derived subskills

D01
Change the input before squaringInterpret the brackets in y = (x − h)² + k.
D02
Change the output scaleCompare y = x² with y = ax² + c.
D03
Read and connect representationsApply and explain explore graph parameters using read and connect representations.
D04
Calculate and explain each stepApply and explain explore graph parameters using calculate and explain each step.