What is the standard form of y=(75x−47)2+4?

1 Answer
TreeReader
Oct 2, 2017

y=4925x2−85x+21249

Explanation:

Basically you just expand out the bracket.

Rule for squaring things: the first squared, plus the last squared, plus twice the product of the two. (like if you had (x+3)2 it'd be x2+32+twice(3⋅x)=x2+6x+9)

So, (75x−47)2 will be (75x)2 + (−47)2 + 2(75x⋅−47)
=4925x2+1649−85x

Now add the +4:

=4925x2−85x+4+1649=4925x2−85x+21249

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