In a factory, a parabolic mirror to be used in a searchlight was placed on the floor. It measured 50 centimeters tall and 90 centimeters wide. Find the equation of the parabola.
graph of parabola
A graph with horizontal axis x from left to right labeled at negative 40 comma negative 20 comma 20 comma 40; vertical axis y labeled from top to bottom 80 comma 60 comma 40 comma 20.
Downward facing parabola with vertex left parenthesis 0 comma 50 right parenthesis and points:
left parenthesis 0 comma 45 right parenthesis comma
left parenthesis negative 50 comma 0 right parenthesis
(1 point)
Responses
y = –two over eighty-one x2 + 50
y = – Image with alt text: two over eighty-one x 2 + 50
y = two over eighty-one x2 + 50
y = Image with alt text: two over eighty-one x 2 + 50
y = –two over eighty-one x2 – 50
y = – Image with alt text: two over eighty-one x 2 – 50
none of these
The correct equation of the parabola is:
y = -2/81 x^2 + 50