Step-by-step explanation:
The graph of a function with the form
y = a(x - h)² + k
is a parabola with vertex at (h, k)
In this case, the function is
y = -(x - 1)² + 2
So, the graph will be a parabola with vertex at (1, 2).
Then, we can sketch the graph finding two points.
If x = 0
y = -(0 - 1)² + 2
y = -(-1)² + 2
y = -1 + 2
y = 1
If x = 2
y = -(2 - 1)² + 2
y = -(1)² + 2
y = -1 + 2
y = 1
Therefore, we will use the points (0, 1), (2, 1), and the vertex (1, 2) to make the graph as follows
Answer: