Okay we have to begin by using the formula. Y= a (x-h)^2 + k Now we have to identify the vertex which is (-4,-3). Now substitute the vertex for (h,k). So now we have. Y= a( x-(-4)^2 + (-3) This gives us Y = a(x+4)^2 -3 Now we have to pick a point from the graph to substitute for the x and y values. This can be any point expect for the vertex. I have chosen (-3,-1). Now let’s substitute: -1= a(-3+4)^2-3 Now we have to solve for a: -1=a(1)^2 -3 -1= a-3 -1+3=a a= 2 Now that we know the value of a we can write the equation down: Y= 2(x+4)^2 + 3
