Question

Convert -6x^2+35.16x-44.44=y to a(x-h)^2+k

Answer 1

\[-6 (x-2.93)^2+7.0694\]

Answer 2

how did you do that?

Answer 3

@satellite73

Would you help us understand how to get this answer? Thanks.

Answer 4

sure

Answer 5

Thank You!

Answer 6

i cheated and used wolfram
ok it is a pain but not that hard. you know it is going to be
\[y=-6(x-h)^2+k\] for some h and k
to find h is the same as finding the first coordinate of the vertex
\[-\frac{b}{2a}\] in this case you have
\[-\frac{35.16}{-12}=2.93\]

Answer 7

so you know it is going to be
\[y=-6(x-2.93)^2+k\] and to find k, replace x in the original equation by 2.93 and see what you get
use a calculator, you will get 7.0694

Answer 8

@satellite73 THANK YOU SO MUCH!!!

Answer 9

yw, my pleasure