Question

Solve for vertex f(x) = -(x-1)^2 +4

Answer 1

$f(x) = -(x-1)^2 +4 \\ f(x) = - {x}^{2} + 2x + 3$

$x_0 = \frac{ - b}{2a} \\ x_0 = \frac{ - 2}{2 \times ( - 1)} = 1$

$y_0 = - {(1)}^{2} + 2 \times 1 + 3 = 4$

Answer: (1, 4)