Which equation represents y= -x^2 + 6x + 7 in vertex form ?

we are given

we can use vertex form parabola formula

so, we can complete x square

so, option-A........................Answer

The question is looking for the difference divided by the longer ride. the longer ride is 6 1/4 miles, so now we need to find the difference. in order to do this we take the larger distance and subtract the smaller distance, so we would take 6.25 (i like decimals more)-5.5 and we get .75 or 3/4 of a mile. now we put .75 over 6.25 and simplify .125 or 1/8