Dukell24idn
Answered

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What is the first step when rewriting [tex]$y=-4x^2+2x-7$[/tex] in the form [tex][tex]$y=a(x-h)^2+k$[/tex][/tex]?

A. 2 must be factored from [tex]$2x-7$[/tex].
B. -4 must be factored from [tex]$-4x^2+2x$[/tex].
C. [tex][tex]$x$[/tex][/tex] must be factored from [tex]$-4x^2+2x$[/tex].
D. -4 must be factored from [tex]$-4x^2-7$[/tex].

Sagot :

GinnyAnsweridn
To rewrite the quadratic equation [tex]\( y = -4x^2 + 2x - 7 \)[/tex] in the vertex form [tex]\( y = a(x-h)^2 + k \)[/tex], the first step is to factor out the term that accompanies [tex]\( x^2 \)[/tex] from the terms involving [tex]\( x \)[/tex].

In this case, the coefficient of [tex]\( x^2 \)[/tex] is -4. Therefore, you should factor out -4 from the terms involving [tex]\( x \)[/tex], which are [tex]\( -4x^2 \)[/tex] and [tex]\( 2x \)[/tex].

So, the correct first step is to factor -4 from [tex]\( -4x^2 + 2x \)[/tex].

Hence, the correct choice is:

-4 must be factored from [tex]\( -4x^2 + 2x \)[/tex].
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