Question

What is the vertex of `y=x^2 - 8x - 3`?

Answer 1

The Solution set(or vertex set) is: `S = {4,-19}`

Explanation:

The general formula for a quadratic function is:
`y = Ax^2 + Bx + C`

To find the vertex, we apply those formulas:
`x_(vertex) = -b/(2a)`
`y_(vertex) = - triangle/(4a)`

In this case:
`x_(vertex) = - (-8)/(2*1) = - (-4) = 4` and
`y_(vertex) = - (b^2 -4ac)/(4*1) = - (64 - 4 * 1 * (-3))/4`
`y_(vertex) = - 76/4 = -19`

So, the Solution set(or vertex set) is: `S = {4,-19}`