Will mark brainliest answer y=5(x-2)^2+4 state the vertex- is the parabola opening up or down? - what is the axis of symmetry? -

Vertex - (2,4)
Direction- Opens up
Axis of symmetry : x=2

Vertex: (2, 4) - minimum 
The parabola is opening up. 
The general form of the equation of a parabola is: Look at the coefficient of the term (a) and if a > 0 (positive), then the parabola opens upward and the graph has a minimum at its vertex. If a < 0 (negative), then the parabola opens downward and the graph has a maximum at its vertex.
The axis of symmetry is 2. 
The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola.