Will give a

the graph of a quadratic function is a parabola that opens down and has a vertex of (4, 3). which of the following could be the function?

a.
y=-x^2+4x+3
b.
y=-x^2+8x-13
c.
y=x^2-4x+3
d.
y=x^2-8x-13

Step-by-step explanation:

We know that the vertex of the parabola is

That means this points is being intercept by the parabola. In other words, the function that represents this parabola has to have this relation, when , .

So, you can observe that the second choice has a function that follows this relation. Let's see

So, for

Therefore, function B is the answer because it includes the vertex at its relation.

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

hope this !

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step-by-step explanation: