GQF - Convert Between Forms (Lesson)
Convert Between Forms
Given a quadratic function in vertex form, let's convert it to standard form:
f(x) = -2(x - 1)2 + 7
f(x) = -2(x - 1)(x - 1) + 7
Start with the exponent and FOIL the (x - 1)2
f(x) = -2(x2 - x - x +1) + 7
f(x) = -2(x2 - 2x + 1) + 7
Then distribute the 2
f(x) = -2x2 + 4x - 2 + 7
Then add the 7
f(x) = -2x2 + 4x + 5
Converting from standard form to vertex form, requires us to utilize the completing the square method we learned last module. Watch this video to learn how to do that.
Convert from Standard Form to Vertex Form Practice
Try these problems.
- f(x) = 2x2 + 8x + 3
- f(x) = x2 + 10x + 2
- f(x) = -3x2 -6x + 4
TO VIEW THE SOLUTIONS ONCE YOU HAVE PRACTICED, CLICK HERE. Links to an external site.
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