Question

HELP!!!!!

Part B
g(x)=−2x2+8x+3 (the second 2 is a exponet)

Write the function g(x) in the form y=a(x−h)2+k . Write the equation for the line of symmetry for the graph of g(x). Show all your work and explain your answer.

Answer 1

Solve for the x-max or h :\

`-b/(2a)=-8/(2*-2)=2=k`
plug it in to equation to get k:/

`y(2)=-2(2)^2+8(2)+3`
-8+16+3=11=k

`y=a(x-2)^2+11`
solve for a by pluging (0,0)
then a= -11/4

`y=-11/4(x-2)^2+11`