 New Zealand
Level 8 - NCEA Level 3

Relation y^2 = x

Interactive practice questions

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

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

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
Approx a minute

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

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

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

Outcomes

M8-1

Apply the geometry of conic sections

91573

Apply the geometry of conic sections in solving problems