Question

Find the vertex of y = 2(x+3)(x-1) ? explain how to do it

Answer 1

calculus or geometry? the answer depends

Answer 2

im in algebra 2

Answer 3

There are multiple ways to do it;
This is because a parabola is horizontally symmetric alone its center.
First way find x-intercepts:
x = -3 and x = 1
now since its symmetric you know the x value of the vertex is equidistant to those 2 values;
therefore x(vertex) = (-3+1)/2 = -1
y(vertex) = 2*2*-2 = -8
You can also find it other ways but I suppose you don't need them here.