Question

What is the equation of the graph below?

https://vcsohio.brainhoney.com/Resource/22138800,AB4,0,B,4/Assets/71871_53b5a642/5_14g_01.gif

y = -2(x - 3)2 + 1
y = -2(x + 3)2 + 1
y = 2(x - 3)2 + 1
y = 2(x + 3)2 + 1

Answer 1

@Directrix @sidsiddhartha

Answer 2

firstly from the graph we can say that it is 3 unit from x axis and 1 from y axis .ok?

Answer 3

so (3,1) right?

Answer 4

yes so my first step will be
\[y=(x-3)^2+1\]

Answer 5

what's the equation for it?

Answer 6

if the vertex is (h,k) then
\[y=(x-h)^2+k\\here\\h=3,k=1\]
ok?

Answer 7

ok, I get that part, so what's next.

Answer 8

now tell me that the graph opens downward or upward?

Answer 9

downward, so it is negative right?

Answer 10

yup good :)

Answer 11

so
\[y=-2(x-3)^2+1\]

Answer 12

how did you get the 2?

Answer 13

@sidsiddhartha ?

Answer 14

uhh its lagging

Answer 15

there shount be a 2

Answer 16

thanks!

Answer 17

y = -(x - 3)^2 + 1
should be this

Answer 18

I have another one I need help with. I'll post it and tag you

Answer 19

ok :)