Answer:
Vertex means the highest or lowest coordinate in a parabola (and also absolute value)
Here we see the lowest point is (-2,0), so the vertex is (-2,0)
A standard quadratic equation is written as a(x-h)^2+k
h and k are the vertex coordinate h is x and k is y
so by finding the vertex we found that h = -2 and k = 0
so you plug it in
a(x-(-2))^2+0=y
a(x+2)^2=y
when finding a, you take a random point in the graph and plug it in and solve it
lets take (-1,1)
so its a(-1+2)^2 = 1
a(1)^2 = 1
a=1
so the equation will be 1(x+2)^2 = y or (x+2)^2=y (don't need to write the 1)
Hope that answers your question
Don't hesitate to leave a comment if you are confused about something
Explanation: