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

a. y = -(x + 5)2 + 4
b. y = -(x - 5)2 + 4
c. y = -(x + 5)2 - 4
d. y = -(x - 5)2 - 4

 The correct option is (A).

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

Taking a = -1, equation (i) becomes

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

Therefore, if we take a = - 1, then   could be the equation of the parabola.

Thus, (A) is the correct option.

fwms@lil_ben06

step-by-step explanation:

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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