2.6 ­ Transformations of Quadratics In Vertex Form.notebook
2.6 Transformations with Quadratic Equations
I can ...
Understand Transformations with Quadratic Functions in Vertex form.
September 28, 2015
A quadratic equation in basic form
y = x2
Horizontal Translation ­ h moves to the left – moves to the right ­ Vertical Translation ­ k
moves up ­
moves down
a ­ reflection and dilation. We will use this number as a "slope" when graphing.
Dec 3­8:48 PM
A quadratic equation in vertex form
y = a(x - h)2 + k
Dec 3­8:50 PM
Graph and state the transformation from y = x2
y = -2(x - 5)2
Example 1: Graph and state
the transformation from y = x2
y = (x - 4)2 + 2
Dec 3­8:50 PM
Graph and state the transformation from y = x2
Dec 4­8:59 AM
Write in Vertex form by Completing the square
y = x2 + 4x + 6
y = 2(x + 3)2 - 1
Dec 4­8:59 AM
Dec 4­8:59 AM
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2.6 ­ Transformations of Quadratics In Vertex Form.notebook
Now graph and tell transformations from
y = x2
To write an equation from a graph all that is needed is the
vertex and one point. y = a(x - h)2 + k
1.
2.
3.
4.
Dec 4­8:59 AM
September 28, 2015
Replace h,k with vertex
x and y with the point
Solve for a
Write the equation in vertex form
Dec 4­8:59 AM
Vertex (5, 4) and point is (6,1) Write the equation in vertex
form and provide the transformations. y = a(x - h)2 + k
Dec 4­8:59 AM
Sep 12­9:58 AM
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