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sammy [17]
3 years ago
8

Make x the subject of y=4x+1​

Mathematics
1 answer:
almond37 [142]3 years ago
5 0

Y = 4x +1

Subtract 1 from both sides:

Y - 1 = 4x

Divide both sides by 4:

X = (y-1)/4

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x^2+24x+144=a(x-h)^2+k\\

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x^2+24x+144=a(x-h)^2+k\\x^2+24x+144=a((x)^2-2(x)(h)+(h)^2)+k\\x^2+24x+144=a(x^2-2hx+h^2)+k\\x^2+24x+144=ax^2-2ahx+ah^2+k\\

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144 = ah^2+k\\144=(1)(-12)^2+k\\144=(1)(144)+k\\144=144+k\\144-144=k\\0=k\\

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y=a(x-h)^2+k\\y=1(x-(-12))^2+0\\y=(x+12)^2\\

this is the square of a binomial, if you want to verify if we expands this formula by the formula of (a + b)^2 we would get the same result. Thus this is the correct answer.

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