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HELP I NEED HELP ASAP

Which choice is the graph of y=(4-x)(x+2)?

HELP I NEED HELP ASAP Which Choice Is The Graph Of Y4xx2 class=

Sagot :

kc0504

Answer:

The answer is D.

Step-by-step explanation:

the points on the graph are, (-2,0), (0,8), (1,9) and (4,0).

Choice D is the correct graph for y = (4-x)(x+2)

What is a parabola?

'A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line.'

According to the given problem,

y = (4 - x)(x+2)

⇒ y = 4x - x² - 2x + 8

⇒ y = -x² + 2x + 8

⇒ y = -(x² - 2x + 1 - 1) + 8

⇒ y =  - (x² - 2x + 1) +1 +8

⇒ y = -(x-1)² + 9

We know, this is in the form of y = a(x-h)²+k , where (h , k) is the vertex of the parabola.

Therefore the vertex of the given parabola has to be at (1,9)

The vertex of parabola at choice D is at (1,9)

Hence, we can conclude that the graph at choice D shows the vertex of the parabola at (1,9)

Learn more about parabola here: https://brainly.com/question/10346063

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