The table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years till
the trees were planted,
what is the rate of change of the average height and feet of the trees on the farm with respect to the number of years since the trees were planted?
what is the rate of change of the average height and feet of the trees on the farm with respect to the number of years since the trees were planted?
1 answer:
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9514 1404 393
Answer:
y = -3x^2 -9x +30
Step-by-step explanation:
When a polynomial has a zero at x=p, it has a factor of (x -p). The factors of your quadratic are ...
f(x) = (x +5)(x -2)
At the point x=3, the value of this product is ...
f(3) = (3 +5)(3 -2) = (8)(1) = 8
In order for that value to be -24, it needs to be multiplied by a scale factor of -3. The quadratic you want is ...
y = -3(x +5)(x -2)
y = -3x^2 -9x +30 . . . . . standard form
