SOLUTION: Given the function y=4x-x^2 1.determine of the vertex function. 2.determine the intercepts of the function.

Question 1073022: Given the function y=4x-x^2
1.determine of the vertex function.
2.determine the intercepts of the function.
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Complete the square to get the function into vertex form,

So the vertex is,
(2,4)
So then using the vertex form,

and
.
..
...
.
Answer by ikleyn(52818) (Show Source): You can put this solution on YOUR website!
.

For the vertex, the problem was solved in https://www.algebra.com/algebra/homework/Rational-functions/Rational-functions.faq.question.1073021.html https://www.algebra.com/algebra/homework/Rational-functions/Rational-functions.faq.question.1073021.html The intercepts are (0,0) and (4,0). The x-intercepts are the roots of this quadratic equation -x^2 + 4x = 0, which is factored as x*(4-x) = 0 and immediately gives you the roots x = and x = 4. The y-intercept is the value of the function at x = 0. This value is 0.

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