The path of a skateboarder can be modeled by the equation (x – 3)2 = –8(y – 8), where distance is in feet and air resistance is insignificant. If the skateboarder makes a jump from a ramp at x = 0, what is her maximum height and how far is she horizontally from the end of the ramp when she lands?
Maximum height 3 feet; horizontal distance 16 feet
Maximum height 7 feet; horizontal distance 11 feet
Maximum height 8 feet; horizontal distance 11 feet
Maximum height 8 feet; horizontal distance 16 feet