Question

Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an left parenthesis, x, comma, y, right parenthesis(x,y) point.
y, equals, minus, x, squared, plus, 4, x
y=−x^2+4x

Answer 1

y = -x^2 + 4x = -[(x^2 - 4x)] = -[(x-2)^2 - 4] = -(x-2)^2 + 4, so the vertex is at (2, 4).