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3.02 Graphs of parabolas

Interactive practice questions

Consider the graphs of $y=x^2$y=x2 and $x=y^2$x=y2 shown.

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What is the relationship between the two graphs?

Both curves are symmetrical about the $x$x axis

A

$x=y^2$x=y2 is the reflection of $y=x^2$y=x2 about the $x$x axis

B

$x=y^2$x=y2 is the reflection of $y=x^2$y=x2 about the line $y=x$y=x

C

Both curves are symmetrical about the $y$y axis

D

$x=y^2$x=y2 is the reflection of $y=x^2$y=x2 about the $y$y axis

E
Easy
1min

Consider the equation $x=y^2$x=y2.

Easy
4min

Consider the equation $x=y^2$x=y2 whose graph is shown.

Easy
< 1min

Consider the equation $x=y^2$x=y2.

Easy
1min
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Outcomes

ACMMM021

recognise features of the graph of y^2=x including its parabolic shape and its axis of symmetry

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