A car magazine wants to determine the maximum rpm of a car. The following graph shows the equation y=−2x2+8x. The equation represents the function for the rpm of the car in thousands, where the rpm is y and the number of seconds is x.

graph (0,0) (1,6)(2,8)(3,6)(4,0)

The maximum rpm for the car is

A. 6,000 rpm

B. 8,000 rpm

C. 10,000 rpm

3 answers

B. 8,000 rpm

The vertex of the parabola represents the maximum value, which in this case is at x=2, y=8. So the maximum rpm of the car is 8,000 rpm.
he axis of symmetry is
A. 2 seconds

B. 3 seconds

C. 4 seconds
A. 2 seconds

The axis of symmetry of a parabola given by the equation y = ax^2 + bx + c is x = -b/2a. In this case, the equation is y = -2x^2 + 8x, so the axis of symmetry is x = -8 / 2*(-2) = 2.