1 Answer

Zachary Espiritu · Answer 1 · 2020-09-09T12:11:12+0000

ANSWER

$y ={x}^(2) + 2$

Step-by-step explanation

The equation of a parabola that has vertex at (h,k) is given by:

$y = a {(x - h)}^(2) + k$

If the given parabola has vertex at (0,2), then h=0 and k=2.

Considering the possible answers, we must have a=1.

We substitute the values in to the formula to get:

$y =1 {(x - 0)}^(2) + 2$

$y ={x }^(2) + 2$

The first option is correct.

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