A cliff diver's height above the water, in meters, is modeled by the function h(d)=-d^2+2d+24, where d represents how far the diver is from the cliff. How far from the cliff will the diver be when she reaches the water
h(d)=height from water when he reaches the water, his height from water=0
so set the equation equal to zero and solve
0=-d^2+2d+24 multiply both sides by -1 for ease 0=d^2-2d-24 now find what 2 factors of -24 add up to -2 answer is -6 and 4 0=(d-6)(d+4) set each to zero d-6=0 d=6
d+4=0 d=-4 you cannot have negative distance because that means he hasn't jumped yet so get rid of this number