NZ Level 8 (NZC) Level 3 (NCEA) [In development]

Relation y^2 = x

Consider the graphs of $y=x^2$`y`=`x`2 and $x=y^2$`x`=`y`2 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`=`y`2 is the reflection of $y=x^2$`y`=`x`2 about the $x$`x` axis

B

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

C

Both curves are symmetrical about the $y$`y` axis

D

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

E

Both curves are symmetrical about the $x$`x` axis

A

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

B

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

C

Both curves are symmetrical about the $y$`y` axis

D

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

E

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