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Can anyone help me thanks

Can anyone help me thanks-example-1
User CheesyMan
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1 Answer

6 votes

Answer:

C

Explanation:

We can use the vertex form of a quadratic equation, given by:


f(x)=a(x-h)^2+k

Where a is the leading coefficient and (h, k) is the vertex.

We are given that the vertex is (-3, 1).

Hence, h = -3 and k = 1. By substitution:


f(x)=a(x-(-3))^2+(1)

Simplify:


f(x)=a(x+3)^2+1

With this, we can eliminate B and D.

Notice that our parabola is curving downwards.

Therefore, our leading coefficient must be negative.

The only choice that leaves us with is C.

So, our function is:


f(x)=-(x+3)^2+1

And our final answer is C.

User Tomer Levinboim
by
7.8k points

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