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What is the first step when rewriting [tex]y = 3x^2 + 9x - 18[/tex] in the form [tex]y = a(x - h)^2 + k[/tex]?

A. 3 must be factored from [tex]3x^2 + 9x[/tex]
B. [tex]x[/tex] must be factored from [tex]3x^2 + 9x[/tex]
C. 9 must be factored from [tex]9x - 18[/tex]
D. 3 must be factored from [tex]3x^2 - 18[/tex]

Sagot :

GinnyAnswer
To rewrite the quadratic equation [tex]\( y = 3x^2 + 9x - 18 \)[/tex] in the form [tex]\( y = a(x - h)^2 + k \)[/tex], the first step is to factor out the common factor from the terms [tex]\( 3x^2 \)[/tex] and [tex]\( 9x \)[/tex].

The correct step is to factor out 3 from [tex]\( 3x^2 + 9x \)[/tex]:

[tex]\[ 3x^2 + 9x = 3(x^2 + 3x) \][/tex]

So, the first step when rewriting [tex]\( y = 3x^2 + 9x - 18 \)[/tex] in the vertex form is to factor out 3 from [tex]\( 3x^2 + 9x \)[/tex].

Thus, the correct answer is:

3 must be factored from [tex]\( 3x^2 + 9x \)[/tex].
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