1. ## Parabola exercise.

Currently working on a assignment with the graph to be plotted

R = 1500p-50p^2(squared)

it should be a Parabola with a positive U shape, but using the Parabola equation it is a slight curve from -5000 moving along to positive 5200 ect(looking more like a Expediential curve)

using the variable of X in table -4 -3 -2 -1 - 1 2 3 4 to find plot points and begin my curve. It should be all positive straight up and it produces negative every time.

I had completed the work book 100 percent and the questions, I am struggling due to the fact I can't find anything remotely close to relate as all examples in the book have a Y value

2. Originally Posted by fosky
using the variable of X in table -4 -3 -2 -1 0 1 2 3 4 to find plot points and begin my curve. It should be all positive straight up and it produces negative every time.
i think i have found correct method after hours of work realisng i need to start at 0 and not negative?

3. Originally Posted by fosky
Currently working on a assignment with the graph to be plotted

R = 1500p-50p^2(squared)

it should be a Parabola with a positive U shape, but using the Parabola equation it is a slight curve from -5000 moving along to positive 5200 ect(looking more like a Expediential curve)

using the variable of X in table -4 -3 -2 -1 - 1 2 3 4 to find plot points and begin my curve. It should be all positive straight up and it produces negative every time.

I had completed the work book 100 percent and the questions, I am struggling due to the fact I can't find anything remotely close to relate as all examples in the book have a Y value
since the coefficient of the quadratic term is negative, this parabola will open down instead of up.

4. Originally Posted by fosky
i think i have found correct method after hours of work realisng i need to start at 0 and not negative?
set the quadratic equal to 0 to locate the zeros ...

$\displaystyle 1500p-50p^2 = 0$

factor ...

$\displaystyle 50p(30 - p) = 0$

the graph has zeros at $\displaystyle p = 0$ and $\displaystyle p = 30$

the vertex of the parabola is midway between the zeros, at $\displaystyle p = 15$

$\displaystyle R(15) = 50(15)(30-15) = 11250$

the vertex is located at $\displaystyle (15,11250)$