Answer:
y = (x + 1) - 4
Explanation:
Vertex Form: y = a(x-h)^2 + k
First, we need to find the parent function. The parent function is (0,0)
Then we need to find where the parabola moved. WE don't need to look at the curved line, we just need to focus on the vertex. We see that the vertex is (-1,-4) Which means the vertex moved one unit towards the left and went down 4 units.
Now it is time to make the actual equation. First, we start with y=
y =
Now we need to put in the (x - h)^2. We see that the graph moved one unit towards the left, so we plug it in with h. Also, keep in mind, the graph isn't being stretched vertically, so the term is 1.
y = 1(x -- 1)^2 = 1(x + 1)^2
Now we need to find the k. The k term is how the graph changed by the y axis. Since it moved down 4 units. We can plug in -4.
y = 1(x + 1) + (-4) = 1(x + 1)^2 - 4
Our final answer is:
y = 1(x + 1) - 4