Question

find the vertex, line of symmetry, max/min of f(x) find the vertex, line of symmetry, max/min of f(x) @Mathematics

Answer 1

f(x)=-2x^2+2x+7

Answer 2

\[f \prime(x) = -4x + 2\]
The root of this equation (also the line of symmetry) is \[x = 1/2\]
Plugging this into the original equation yields \[f(x)=-2(1/2)^2+2(1/2)+7=15/2\]
Thus the vertex is (1/2,15/2)
The range is (-infinity, 15/2)