Answer:
(3,-4)
Step-by-step explanation:
You can find the vertex where x = -b/2a
To find the values of a and b, it would be easier to write the equation in standard form, which is y = ax^2 + bx + c
y = 2(x^2 - 6x + 9) - 4
y = 2x^2 - 12x + 18 - 4
y = 2x^2 - 12x + 14
In this equation, a = 2 and b = -12.
So let's plug that into x=-b/2a
x = -(-12)/2(2)
x = 12/4
x = 3
Now we have the x, we can just plug that into the original equation and get the y coordinate for the vertex.
y = 2(x - 3)^2 - 4
y = 2(3 - 3)^2 - 4
y = -4
