An athlete dives from the 3-meter springboard. Her altitude y, at horizontal distance, x, can be approximated by the function

athlete-dives

#1

An athlete dives from the 3-meter springboard. Her altitude y, at horizontal distance, x, can be approximated by the function y = -2.2x^2 + 5.3x + 4. Both the altitude and distance are in meters. How far has she traveled horizontally when she reaches her maximum altitude? What is her maximum altitude? Round to the nearest tenth of a meter.

Answer:

the max is on the axis of symmetry

x = -b / 2a = -5.3 / -4.4

y-max = -2.2 (5.3/4.4)^2 + 5.3 (5.3/4.4) + 4