What is the vertex form of y=x2−12x+6?

1 Answer
Jim G.
Mar 9, 2016

y=(x−6)2−30

Explanation:

The standard form of a quadratic function is ax2+bx+c

the equation y=x2−12x+6 is in this form

with a = 1 , b = -12 and c = 6

The vertex form is : y=a(x−h)2+k

where (h,k) are the coords of vertex

the x-coord of vertex ( h ) = −b2a=122=6

and y-coord( k) = 62−12(6)+6=−30

now (h , k ) = (6 , -30) and a = 1

⇒y=(x−6)2−30 is vertex form

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