x^2-20x+75=y (x-100)^25=y vertex= (100,-25) COMPLETE THE SQUARE CORRECTLY and show the mistake in the above work.
- print Print
- list Cite
Expert Answers
calendarEducator since 2010
write12,551 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)
Related Questions
- How to complete the square to find vertex and x-intercept of parabola y=2x^2-11x+2
- 1 Educator Answer
- complete the square to convert the 2x^2 - 20x - 48 to vertex form
- 1 Educator Answer
- Find the vertex of: f(x)=3x^2 + 2x - 5 by completing the square.
- 1 Educator Answer
- Factor by completing the square for` f(x)= x^2 -4x +9`
- 2 Educator Answers
- convert to vertex form y=-2x^2+6x+1 and y=x^2+4x+1
- 1 Educator Answer
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