What is the axis of symmetry and vertex for the graph #y=x^2+5x7#?
1 Answer
Vertex
Axis of Symmetry
Explanation:

Method 1
The graph of# y=x^2+5x7# is 
graph{x^2+5x7 [26.02, 25.3, 14.33, 11.34]}
According to the above graph, We can find the vertex and axis of symmetry of the above graph.
Vertex#rArr (5/2,53/4)#
Axis of Symmetry# rArr x =5/2 # 
Method 2
Check the derivative of the function.
The derivative of the function is zero at its vertex .
Put the
Vertex
Axis of Symmetry
 Method 3
The given function is a quadratic function.
The vertex of the parabola of the quadratic function
Axis of Symmetry