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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