What is the axis of symmetry and vertex for the graph y=x^2+5x-7y=x2+5x−7?
1 Answer
Vertex
Axis of Symmetry
Explanation:
-
Method 1-
The graph ofy=x^2+5x-7y=x2+5x−7 is -
graph{x^2+5x-7 [-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.
VertexrArr (-5/2,-53/4)⇒(−52,−534)
Axis of SymmetryrArr x =-5/2 ⇒x=−52 -
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