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The vertex of this parabola is at (-5, 4). Which of the following could be its equation?



Ay = -(x + 5)2 + 4
By = -(x - 5)2 + 4
Cy = -(x + 5)2 - 4
Dy = -(x - 5)2 - 4

Verified Answer :

Answer:  The correct option is (A). \(y=-(x+5)^2+4.\)

Step-by-step explanation:  Given that the co-ordinates of the vertex of a parabola is (-5, 4).

We are to select the correct option that could be the equation of the given parabola.

We know that the standard equation of a [parabola with vertex (h, k) is given by

\(y=a(x-h)^2+k~~~~~~~~~~~~~~~~~~~(i)\)

Taking a = -1, equation (i) becomes

\(y=-(x-h)^2+k.\)

If the vertex is (h, k) = (-5, 4), then the equation of the parabola becomes

\(y=-\{x-(-5)\}^2+4\\\\\Rightarrow y=-(x+5)^2+4.\)

Therefore, if we take a = - 1, then  \(y=-(x+5)^2+4.\) could be the equation of the parabola.

Thus, (A) is the correct option.

oystercloud47

Answer:

y = - (x+5)2 +4

Step-by-step explanation:

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