Question

Identify the correct equation of the parabola.

Answer 1

The correct equations of a parabola are  z = 2(y-9)²-2 and y = 2(z-2)²-9.

This is a problem with coordinate geometry. We can solve this by following a few steps.

First of all we should know the ideal equation of a parabola. The equation is,

• x = a( y - h )² + k

• y = a( x - k )² + h

• where ( h, k ) is the vertex of the parabola.

From all those options only last two equations satisfy the conditions.

•  z = 2(y-9)²- 2

• y = 2(z-2)²- 9

Where the coordinate of the vertex of this parabola is ( 9, 2 ).

Hence we can conclude that z = 2(y-9)²-2 and y = 2(z-2)²-9 are the correct equation of a parabola.

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