Question

Find the Vertex ( X and Y coordinate), the line of symmetry, and determine if the value is minimum or maximum

f(x)=-2x^2+2x+6

Answer 1

Let's use a shortcut,

-b/2a to find the vertex.

-(2)/2(-2)
-2/-4
1/2

x cordinate = 1/2


-2x^2+2x+6
-2(1/2)^2 +2(1/2) + 6
13/2

Answer 2

Therefore,
x-cordinate = 1/2
y-cordinate = 13/2

Answer 3

Line of symm = x =1/2

Since the value of a is negative, so it will be a happy face, a minimum point.