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Ipatiy [6.2K]
3 years ago
5

PLEASE HELP 100POINTS WILL GIVE BRAINLEST

Mathematics
2 answers:
charle [14.2K]3 years ago
8 0

Answer:

y = -2(x -2)^2 + 11

Step-by-step explanation:

It works well to factor the leading coefficient from the first two terms.

... y = -2(x^2 -4x) +3

Now we want to add the square of half the x-coefficient inside parentheses, and subtract the equivalent quantity outside parentheses.

... y = -2(x^2 -4x +4) +3 - (-2·4)

... y = -2(x -2)^2 +11 . . . . . . . .  simplify

_____

The form given in the problem statement is called "vertex form," where the vertex of the parabola is (h, k). A graph shows us the vertex is (2, 11), so we can write the function immediately as ...

... y = -2(x -2)^2 +11

Serhud [2]3 years ago
7 0

Answer:

y = -2(x -2)^2 + 11

Step-by-step explanation:

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