What is the vertex form of $y=3x^2-18x+3$ ?

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Answer 1 · 2016-06-27T05:06:32

the vertex is (3, -24)

The x-coordinate of the vertex is given by:

$x=-b/(2a)$

when $y=ax^2+bx+c$

Since a=3, b=-18 and c=3, you have

$x=-(-18)/(2*3)$

$x=3$

You can obtain the y-coordinate of the vertex by substituting the value of x in the equation so that

$y=3*3^2+(-18)*3+3$

$y=27-54+3$

$y=-24$

What is the vertex form of y=3x^2-18x+3y=3x^2-18x+3?