SOLUTION: WHat is the range of y=x^2-10x+25

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Question 491337: WHat is the range of y=x^2-10x+25
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
WHat is the range of y=x^2-10x+25
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y=x^2-10x+25
completing the square
y=(x^2-10x+25)+25-25
y=(x-5)^2
This is an equation of a parabola of the standard form: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.
for given problem:
range: (0,∞)
see graph below as a visual check on answer:
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%28x-5%29%5E2%29+