Vertex Form of a Quadratic Equation
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Vertex Form
#y=a(xh)^2+k# ,where
#(h,k)# is the vertex.
I hope that this was helpful.

Since the equation is:
#y=x^2+bx+c# the vertex is
#V(b/(2a),Delta/(4a))# ,or, found the
#x_v=b/(2a)# you can substitue it in the equation of the parabola at the place of#x# , finding the#y_v# . 
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Quadratic Equations and Functions

1Quadratic Functions and Their Graphs

2Vertical Shifts of Quadratic Functions

3Use Graphs to Solve Quadratic Equations

4Use Square Roots to Solve Quadratic Equations

5Completing the Square

6Vertex Form of a Quadratic Equation

7Quadratic Formula

8Comparing Methods for Solving Quadratics

9Solutions Using the Discriminant

10Linear, Exponential, and Quadratic Models

11Applications of Function Models