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AustraliaNSW
Stage 5.1-3

4.05 Plotting parabolas

Interactive practice questions

Consider the parabola $y=\left(x+2\right)^2-3$y=(x+2)23.

a

Which successive transformations turn $y=x^2$y=x2 into $y=\left(x+2\right)^2-3$y=(x+2)23?

Horizontal shift $2$2 units to the right and vertical shift $3$3 units up

A

Vertical shift $2$2 units down and horizontal shift $3$3 units to the left

B

Horizontal shift $2$2 units to the left and vertical shift $3$3 units down

C

Vertical shift $2$2 units up and horizontal shift $3$3 units to the left

D
b

What is the turning point?

c

Sketch a graph of the parabola.

Loading Graph...
Easy
1 min

Consider the parabola described by the function $y=2\left(x-1\right)^2-3$y=2(x1)23

Easy
2 min

Consider the expression $x^2+6x$x2+6x.

Easy
2 min

The graph has an equation of the form $y=a\left(x-h\right)^2+k$y=a(xh)2+k.

Easy
1 min
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Outcomes

MA5.1-7NA

graphs simple non-linear relationships

MA5.2-10NA

connects algebraic and graphical representations of simple non-linear relationships

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