This is the maximum/minimum point on the graph
*HOW IS IT DIFFERENT FROM THE OPTIMAL VALUE?
-the optimal value is only the x value from the vertex
-the vertex is (x,y)
X INTERCEPTS
This is the point where the graph crosses the x axis
Factored form {y= a(x-s)(x-r)}
The vertex is the Axis of symmetry and Optimal Value: (A.O.S, Optimal Value)
Vertex form {y= a(x-h)² + k}
The vertex is the h and k values in the expression y= a(x-h)² + k: (h,k)
Standard form: {y= ax² + bx + c}
The vertex is the Axis of symmetry and Optimal Value: (A.O.S, Optimal Value
*HOW ARE THEY DIFFERENT FROM Y INTERCEPTS?
-x axis is horizontal and y axis is vertical
Standard Form: {y= ax² + bx + c}
Vertex form {y= a(x-h)² + k}
Factored form {y= a(x-s)(x-r)}
The x intercepts are the s and r values in the expression y= a(x-s)(x-r): (s,0) (r,0)
To find the x intercepts you set y as 0 and isolate for x
To find the x intercepts you would use the quadratic formula