Question

Which parabola has the graph shown?

I think the answer is C. however, I'm not 100% sure.

Answer 1

$x=m(y-k)^2+h\\\\(h,\ k)-the\ vertex$

We have the vertex (-4, -1), therefore we have:

$x=(y-(-1))^2-4\ \ \ |+4\\\\(x+4)=(y+1)^2$

Answer 2

The equation of the parabola is ( x+4 )= ( y + 1 )². Then option C is correct.

What is a parabola?

A parabola is a curve in such a way that its distance from the focus and the directrix is the same from every point on the curve.

The equation of the parabola is calculated as:-

x = m ( y-k )² + h

The vertex coordinates are -4 and -1. Put the coordinates (-4,-1) in the equation above.

x = m ( y-(-1 ) )² - 4

x+4 =  ( y + 1 )²

The equation of the parabola will be x+4 =  ( y + 1 )². Hence, option C is correct.

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