topic badge
AustraliaVIC
VCE 11 Methods 2023

4.05 Parabolas

Interactive practice questions

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

Loading Graph...

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
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

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.AoS1.12

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

What is Mathspace

About Mathspace