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bonufazy [111]
3 years ago
6

Which inequality does the graph below represent?

Mathematics
1 answer:
Dima020 [189]3 years ago
7 0

Answer:

A. y\le2x^2-8x+3

Step-by-step explanation:

The given parabola has vertex at (2,-5).

The equation of this parabola in vertex form is given by:

y=a(x-h)^2+k, where (h,k)=(2,-5) is the vertex  of the parabola.

We substitute the values to get:

y=a(x-2)^2-5

The graph passes through; (0,3).

3=a(0-2)^2-5

\implies 3+5=4a

\implies 8=4a

\implies a=2

Hence the equation of the parabola is

y=2(x-2)^2-5

We expand this to get:

y=2x^2-8x+8-5

y=2x^2-8x+3

Since the outward region was shaded, the corresponding inequality is

y\le2x^2-8x+3

The correct answer is A

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