The graph that has the equation y = -x² + 2x is in option D
How to find the graph
We can find the graph by rewriting the equation in vertex form
y = -x² + 2x
Complete the square inside the parentheses:
y = -(x² - 2x + 1 - 1)
y = -(x - 1)² + 1
the vertex of the quadratic function is at (1, 1), this match with graph in option d