Question

The vertex of the functions graph is given. Find c. y=2x^2-6x+c;(3/2, 0.5)

Answer 1

You would best do this by completing the square on the quadratic and subbing in the vertex they give you, like this:

`2(x- (3)/(2))^(2) = (18)/(4)-c`
Since the y coordinate of the vertex is 1/2 and we need to solve for c, set the
`(18)/(4)-c` equal to 1/2 and solve for c, which is the whole point of what we are doing, right?

`(18)/(4)-c= (1)/(2)` and
`(18)/(4)- (2)/(4)=c`

`(16)/(4)=c` and c = 4. So that's our answer!