Question

Amna throws a packet of chips to Fatima. The height at which she throws the chips is determined by the function h(x)=-(x-2)^2+7 where h is the height in feet and x is the time in seconds.

What will the x-axis represent? (Height or time)


What will the y-axis represent? (height or time)


Does the function have a maximum or a minimum?

Answer 1

Answer: time, height, yes

Answer 2

The x-axis will represent time in seconds, as x is the independent variable in the function and represents time.

The y-axis will represent height in feet, as h is the dependent variable in the function and represents the height of the chips thrown by Amna.

The function has a maximum at x = 2 seconds, where the chips reach the highest point in their trajectory before falling back down to the ground. This is because the coefficient of the squared term in the function is negative, which means the function is a downward facing parabola and has a maximum point.