Question

find the vertex, the line of symmetry, and the maximum/minimum value of f(x).
f(x) = 1/4(x+7)^2 + 2

Answer 1

The line of symmetry is x = -b/2a. This is also the value of x at the vertex. To find the y value at the vertex, evaluate the function using the x value you just found.
The vertex will be at a minimum, if the coefficient a is positive, It will be a maximum if a is negative. or at a maximum..