Given f(x) = x² + 12x + 26 . Write the quadratic function in vertex form.

Solution:

Let y = f(x) = x² + 12x + 26

y = x² + 12x + 26

y - 26 = x² + 12x

y - 26 + 36 = x² + 12x + 36

y + 10 = (x + 6)²

y = (x + 6)² -10

y = (x - (-6))² + (-10)

The quadratic equation is converted into vertex form which is of the form:

y = a(x - h)² + k

a = 1

h = -6 and

k = -10

Hence y = (x - (-6))² + (-10) is the required veryex form.

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Given f(x) = x² + 12x + 26 . Write the quadratic function in vertex form.

Summary:

Given f(x) = x² + 12x + 26, the quadratic function in vertex form is given as y = (x - (-6))² + (-10)