A baseball is hit at a point 3 feet above the ground at a velocity of 100 feet per second and at an angle of 45° with respect to the ground. The path of the baseball is given by the function f left parenthesis x right parenthesis equals negative 0.0032 x squared plus x plus 3 comma where f(x) is the height of the baseball (in feet) and x is the horizontal distance from home plate (in feet). What is the maximum height reached by the baseball? Group of answer choices

165.25 ft

156.25 ft

146.5 ft

130 ft