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

Interactive practice questions

Answer the following.

a

The graph of $y=x^2$y=x2 is symmetric about the:

$x$x-axis

A

$y$y-axis

B

origin

C

$x$x-axis

A

$y$y-axis

B

origin

C
b

The graph of $x=y^2$x=y2 is symmetric about the:

$y$y-axis

A

$x$x-axis

B

origin

C

$y$y-axis

A

$x$x-axis

B

origin

C
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Find the equation of the axis of symmetry of the parabola $x=\frac{1}{7}\left(y+5\right)^2-6$x=17(y+5)26.

Find the coordinates of the vertex of the parabola $y=7\left(x-5\right)^2+6$y=7(x5)2+6.

Give your answer in the form $\left(a,b\right)$(a,b).

Consider the parabola $x^2=2y$x2=2y.

Outcomes

M8-1

Apply the geometry of conic sections

91573

Apply the geometry of conic sections in solving problems

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