SOLUTION: Putting the function into the form f(x)=a(x-h)^2+k and the function is -4x^2+32x+5

Algebra.Com
Question 803240: Putting the function into the form f(x)=a(x-h)^2+k and the function is -4x^2+32x+5
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Put the function into the form f(x)=a(x-h)^2+k
if the function is -4x^2+32x+5
----------------------
f(x) = -4x^2+32x+5
------
4x^2 - 32x - 5 = -y
------
4(x^2 - 8x + k) = -y + 5 + 4k
------
4(x^2 - 8x + 16) = -y + 5 + 4*16
------
4(x-4)^2 = -y + 69
=======
y = -4(x-4)^2 + 69
====================
Cheers,
Stan H.
===============

RELATED QUESTIONS

For the function y = x2 - 4x - 5 Put the function in the form y = a(x - h)2 +... (answered by venugopalramana)
write the function f(x)= -5^2 + 4x -3 in the form k + a(x+h)^2 then (a) determine the... (answered by josgarithmetic)
Complete the square to write each function in the form {{{f(x)=a(x-h)^2+k}}}... (answered by Edwin McCravy)
If a quadratic function has its vertex at point (2,8) and the function passes through... (answered by Edwin McCravy)
For the function y=x^2 -4x-5 perform the following tasks: Put the function in the... (answered by stanbon)
Complete the square to write the function in f(x) = a(x − h)^2 + k form.... (answered by josgarithmetic)
Write each quadratic function in the form f(x) = a (x-h)^2 + k F(x)= -3x^2 - 12x -... (answered by nerdybill,DrBeeee)
f(x) = 5x^2 − 10x + 7 Rewrite the function in f(x) = a(x − h)2 + k form. (answered by josgarithmetic,greenestamps)
f(x) = 2x^2 + 12x + 15 Rewrite the function in f(x) = a(x − h)2 + k form. (answered by josgarithmetic)