if we take choice F and plug in t = 1 h(1) = -4.7(1)² - 25(1) + 16 = -13.7 if we take choice G and plug in t = 1 h(1) = -4.7(1)² + 25(1) + 16 = 36.3
only choice G works for us since it has 36.3 at t = 1
you could have also put these points in a graphing calculator and then use the quadratic regression feature to get an equation that will model this data
the graph would start at (0,2) [2 points up from the origin] and then go over 3 up 2, and repeat that over 3 up 2 until you've completed your line to the extent needed