 # Completing the square and graph transformations

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How to sketch quadratic graphs by completing the square?

Sketching Quadratic Graphs by Completing the Square (part 1)
Sketching Quadratic Graphs by Completing the Square (part 2)

Using Completing the Square to sketch graphs
Manipulate a quadratic equation (the second half covers negative quadratics) to get the completed square form and then use this as a short cut to sketching the curve and finding the coordinates of the minimum / maximum.
Example:
By completing the square, find the maximum or minimum value of y and the value of x for which this occurs. State whether your value of y is a maximum or minimum in each case.
y = x2 - 2x + 7
y = x2 + 2x - 3
y = 1 - 6x + x2
C1 - Completing the Square (Harder) and curve sketching
When the coefficient of x-squared is not 1 - these are harder.
Sketching curves using the completed square form: Vertex and equation of line of symmetry.

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