Question

What is the piecewise function for the graph?


(1 point)






What is the vertex form of the graphed equation?



(2 points)
y=−2(x−?)2+?

What is the value of the first ?

What is the value of the second ?

Answer 1

I can’t see the graph you mean — please either upload the image or describe the important features (vertex coordinates, where the pieces change, coordinates of any endpoints or other points on each piece).

Meanwhile here’s how to get the answers once you give those details:

1. Piecewise function
- Identify each segment of the graph and the x-interval where it applies.
- For each segment write the appropriate formula and the interval, e.g.
y = expression1 for x ≤ a
y = expression2 for a < x < b
y = expression3 for x ≥ b

2. Vertex form for the parabola
- Vertex form is y = a(x − h)^2 + k, where (h,k) is the vertex and a is the vertical stretch/compression and sign.
- You already have a = −2, so the form is y = −2(x − h)^2 + k.
- h is the x-coordinate of the vertex; k is the y-coordinate of the vertex.

If you tell me the vertex (h,k) from the graph (or upload the graph), I will give the exact piecewise function and fill in the two question marks. For example, if the vertex is at (3,5) then y = −2(x − 3)^2 + 5, so the first ? = 3 and the second ? = 5.