Question

If y=-x^2 +4x+10 is put in form y=a(x-h)^2+k , what is the value of a+h+k?
The answer is 15.. Just need to show the work..

Answer 1

expand y = a(x-h)^2 +k, what do you have?

Answer 2

Idk how to do that..

Answer 3

\[y=-x^2+4x+10\] you want it to look like
\[y=a(x-h)^2+k\] right? pretty obvious that \(a=-1\)
then \[h=\frac{b}{2a}\]

Answer 4

Ojhh

Answer 5

actually \(h=-\frac{b}{2a}\)

Answer 6

I made a mistake in the question lol.. the answer is actually 15..

Answer 7

in your case
\[-\frac{b}{2a}\] is
\[-\frac{4}{2\times (-)}=2\]

Answer 8

Yup, I got that far

Answer 9

then to find \(k\) take
\[y=-x^2+4x+10\] and replace \(x\) by \(2\)

Answer 10

22?

Answer 11

The answer is suppose to be 15... So idk