This quadratic polynomial is set up in the format:
Ax² + Bx + C = y
To find the vertex, we first find the X-value. To find this you use the formula:
X = - B / 2A
Now plug in using the given information and the formula.
X = - 6 / 2(- 3)
Simplify
X = - 6 / - 6
X = 1
Now take this X-value and plug it into the original polynomial to find the Y-value.
y = - 3(1)² + 6(1) - 4
Simplify
y = - 3(1) + 6 - 4
y = - 3 + 6 - 4
y = 3 - 4
y = - 1
So your vertex is (1, -1) or the second option.
