Question

Write an equation for a parabola that has a vertex at (2, 3), focus at (2,5), and directrix at y = 1.

f(x) = (x - 2)² +3
f(x) = 2(x - 5)² + 2
f(x)=(x-3)² + 2
f(x) = 2(x - 3)² + 1

Answer 1

Your answer is: f(x)= 2(x-3)^2 +1
y moves the parabola up and down on the x-axis, if y=1 then it would move up one