Find the vertex : f (x) = 3x^2-18x+10

f (x) = 3x^2-18x+10

a = 3, b = - 18 and c = 10

The vertex of a parabola is in form a (x+d) ^2 + e

d = b/2a = - 18/2 (3) = - 18/6 = - 3

e = c-b^2/4a = 10 - - 18^2/4 (3) = 10-27 = - 17

Now the vertex form of the parabola becomes 3 (x-3) ^2 - 17

Use the vertex form of the parabola in the vertex form of y = a (x-h) ^2 + k

Where a = 3, h = - 3 and k = - 17

Now you have y = 3 (x - (-3)) ^2 + (-17)

Simplify: y = 3 (x+3) ^2 - 17

The vertex becomes the h and k values of (3,-17)