A ball is thrown from the top row of seats in a stadium. The function h(t) = −16t2 + 128t + 50 gives the height, h, in feet, of the ball t seconds after it is thrown. How long will it be before the ball hits the ground? Round your answer to the nearest whole number.

3 seconds

Step-by-step explanation:

We assume the ground is where h=0, so the equation we need to solve is ...

 0 = -16t^2 +16t +96

Dividing by -16 gives ...

 0 = t^2 -t -6

Factoring, we get ...

 0 = (t -3)(t +2)

This has solutions t=3 and t=-2. Since we know the ball won't land 2 seconds before it is thrown, the solution is ...

 It will be 3 seconds before the ball hits the ground.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

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