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VCE 11 Methods 2023

2.07 Quadratic graphs

Interactive practice questions

A graph of $y=x^2$y=x2 is shown here. By dragging the points provided, plot the curve after it has undergone transformations resulting in the function $y=4x^2-2$y=4x22.

Loading Graph...
Medium
1min

A graph of $y=x^2$y=x2 is shown here. By dragging the points provided, plot the curve after it has undergone transformations resulting in the function $y=2\left(x+4\right)^2$y=2(x+4)2.

Medium
1min

Consider the two graphs. One of them has equation $y=x^2+5$y=x2+5.

Which of the following could be the equation of the other graph?

Medium
< 1min

Consider the parabola described by the function $y=\frac{1}{2}\left(x-3\right)^2$y=12(x3)2

Medium
2min
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Outcomes

U1.AoS1.2

qualitative interpretation of features of graphs of functions, including those of real data not explicitly represented by a rule, with approximate location of any intercepts, stationary points and points of inflection

U1.AoS1.4

graphs of polynomial functions of low degree, and interpretation of key features of these graphs.

U1.AoS1.10

sketch by hand graphs of linear, quadratic and cubic polynomial functions, and quartic polynomial functions in factored form (approximate location of stationary points only for cubic and quartic functions), including cases where an x-axis intercept is a touch point or a stationary point of inflection

U1.AoS1.12

draw graphs of polynomial functions of low degree, simple power functions and simple relations that are not functions

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