Vertical Shifts of Quadratic Functions
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Vertical Shifts are just how much a function is shifted or moved up the y axis.
Given a simple quadratic function:
#y=x^2+2# graph{x^2+2 [10, 10, 1, 9]}
You can see from the graph this function that the parabola is 2 units above the origin because it has a vertical shift of 2 after its parent function. In this case, the parent function is:
#y=x^2# You will not always be able to easily find the vertical shift of a quadratic equation, but if the function is in vertex form, then the vertical shift can be found easily from its 'k'.
More on vertex form can be found here.
http://www.purplemath.com/modules/sqrvertx.htm 
In order to find the yintercept
#b# of any function#f(x)# is#f(0)# .So, the yintercept of
#f(x)=ax^2+bx+c# is#f(0)=a(0)^2+b(0)+c=c# .The constant term c of a quadratic function is always its yintercept.
I hope that this was helpful.

I would start with its vertex, then move either to the right or to the left, then use a symmetry to draw the other half.
I hope that this was helpful.
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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