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India
Class XI

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
b

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

$y$y-axis

A

$x$x-axis

B

origin

C
Easy
< 1min

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.

Easy
1min

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).

Easy
< 1min

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

Easy
5min
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Outcomes

11.CG.CS.1

Sections of a cone: Circles, ellipse, parabola, hyperbola, a point, a straight line and pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

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