x^2-20x+75=y (x-100)^25=y vertex= (100,-25) COMPLETE THE SQUARE CORRECTLY and show the mistake in the above work.
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calendarEducator since 2008
write3,662 answers
starTop subjects are Math, Science, and Social Sciences
I believe that the question should be as follow:
y= x^2 - 20x + 75
To complete the square, we will add and subtract ( x's coefficient/2)^2
==> We will add and subtract ( 20/2)^2 = 10^2 = 100
==> y= x^2 - 20x + 75 + 100 - 100
We will rearrange terms.
==> y= x^2 - 20x + 100 + 75 - 100
Now we will write the complete square.
==> y= (x-10)^2 - 25
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calendarEducator since 2010
write12,544 answers
starTop subjects are Math, Science, and Business
For the equation x^2-20+75=y, we see that there is no term with x. If we are to complete the square there has to be a term with x.
I take the equation as
can rewrite it as: x^2 - 20x + 75 = y
=> x^2 - 20x + 75 + 25 = y + 25
=> x^2 - 20x + 100 = y + 25
=> (x - 10)^2 = y - (-25)
Therefore the vertex is (10 , -25)
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