Question

What is the first step in writing f(x) = 3x2 + 6x – 8 in vertex form?

A. Factor out 3 from each term.


B. Form a perfect square trinomial by keeping the value of the function equivalent.


C. Write the trinomial as a binomial squared.


D. Factor out 3 from the first two terms.


Explain your answer?


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-Charlie

Answer 1

D. Factor out 3 from the first two terms.

Explanation:

According to the Vertex Formula [y = A(X - H)² + K], -H gives you the OPPOSITE terms of what they really are, but in this case, this would not qualify, since the question is asking something totally unique. So, since 3 is your "A", you factor that out, and since 6 is a multiple of 3, it is easy to work with. Anyway, you get this:

y = 3(x + 1)² - 11

I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.

Answer 2

D. Factor out 3 from the first two terms.

Explanation:

Vertex form is ...

y = a(x -h)² +k

where (h, k) is the vertex and "a" is the vertical scale factor.

This equation expands to give ...

y = ax² -2ahx + ah² +k

Factoring "a" from the terms involving x makes it easy to identify h and so finish putting the equation into vertex form. In this equation, that means the most appropriate first step is ...

factor out 3 from the first two terms