Vertex Form of a Quadratic Equation
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Key Questions

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

Graphing a quadratic equation in vertex form.
 Identify the vertex
 Find the yintercept
 Graph the line of symmetry and the vertex
 Graph the yintercept and its reflection
 Make a table (with the vertex in the middle) to calculate at least 5 points on the parable.
Use this picture to help you understand better.
NOTE: I got this photo from here.

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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Videos on topic View all (4)
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