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,
- where ( h, k ) is the vertex of the parabola.
From all those options only last two equations satisfy the conditions.
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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