# Thread: I need help with quadratic word problem

1. ## I need help with quadratic word problem

The path that a hit baseball takes is given by the formula h=-.0032d^2+d+3 where h = height of the baseball (in feet) and d= distance from home plate (in feet)

If there's a ten-foot fence 300 feet from home plate, will the ball make it over the fence? (I would appreciated if you explain your answer)

2. Originally Posted by eliteplague
The path that a hit baseball takes is given by the formula h=-.0032d^2+d+3 where h = height of the baseball (in feet) and d= distance from home plate (in feet)

If there's a ten-foot fence 300 feet from home plate, will the ball make it over the fence? (I would appreciated if you explain your answer)
Your formula is $\displaystyle h=-0.0032d^2+d+3$.

You know that the fence is 300 metres away, therefore you have $\displaystyle d=300$.

Putting this into your equation for the height of the ball, you get $\displaystyle h=-0.0032(300)^2+300+3$.

Now do the maths and see if the height is more than or less than the height of the fence.

3. h = -0.0032d² + d + 3. Sub in d = 300
h = -0.0032(300)² + 300 + 3
h = -288 + 303
h = 15, so when the ball is 300 feet from the plate it is 15 feet high, and since it is higher than ten feet, it will make it over the fence? So it's yes?

Also, do you know how I find the Horizontal Intercept and Vertical Intercept of this equation?

4. Originally Posted by eliteplague
h = -0.0032d² + d + 3. Sub in d = 300
h = -0.0032(300)² + 300 + 3
h = -288 + 303
h = 15, so when the ball is 300 feet from the plate it is 15 feet high, and since it is higher than ten feet, it will make it over the fence? So it's yes?

Also, do you know how I find the Horizontal Intercept and Vertical Intercept of this equation?
Yes that's correct

I presume u mean when the graph would cross the axis? To do this set $\displaystyle d=0$ and solve for $\displaystyle h$, then set $\displaystyle h=0$ and solve for $\displaystyle d$.

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# find the vertex and intercepts of h=.0032d^2 d 3

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