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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Using the completing the square method, rewrite f(x) = x2 - 6x + 2 in vertex form.
Solution:
The vertex form of the equation is given by
f(x) = a(x - h)2 + k
Given, f(x) = x2 - 6x + 2
Converting to vertex form,
x2 - 6x + 2
= x2 - 6x + 9 + 2
= (x - 3)2 + 9
f(x) + 9 = (x - 3)2 + 2
f(x) = (x - 3)2 + 2 - 9
f(x) = (x - 3)2 - 7
Therefore, the equation in vertex form is f(x) = (x - 3)2 - 7.
Using the completing the square method, rewrite f(x) = x2 - 6x + 2 in vertex form.
Summary:
Using the completing the square method, the equation f(x) = x2 - 6x + 2 in vertex form is f(x) = (x - 3)2 - 7.
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