Question

How do you solve by graph `y=-2(x+3)^2+2`?

Answer 1

`x=-2` and `x=-4`

Explanation:

Whenever you want to solve a function using a graph, you want to focus on the x-intercepts (which are the roots of the function). Let's graph this:

graph{-2(x+3)^2+2 [-9.956, 4.09, -3.04, 3.984]}

As you can see, the graph passes through the x-axis at `(-2,0)` and `(-4,0)`. Therefore, the roots of the function are `x=-2` and `x=-4`