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3 years ago

8

Why is “h” negative in math

2 answers:

Mice21 [21]3 years ago

6 0

Answer:

he parameter h is the extremal point of the quadratic. The extremum happens when x=h, when the function (x−h)2 is minimized (or −(x−h)2 maximized). So the reason for the minus sign is because x=h is equivalent to x−h=0.

Step-by-step explanation:

tresset_1 [31]3 years ago

5 0

Answer:

Just remember that when it comes to vertex form and parabola transformations a negative h means shift right and positive h left. We anumberd to the number lgraphbitself itself having negative integers on left and positive on right and I can see why this throws people off.

Step-by-step explanation:

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baherus [9]

Answer:

a) 1296 bacteria per hour

b) 0 bacteria per hour

c) -1296 bacteria per hour

Step-by-step explanation:

We are given the following information in the question:

The size of the population at time t is given by:

$b(t) = 9^6 + 6^4t-6^3t^2$

We differentiate the given function.

Thus, the growth rate is given by:

$\displaystyle\frac{db(t)}{dt} = \frac{d}{dt}(9^6 + 6^4t-6^3t^2)\\\\= 6^4-2(6^3)t$

a) Growth rates at t = 0 hours

$\displaystyle\frac{db(t)}{dt} \bigg|_{t=0}= 6^4-2(6^3)(0) = 1296\text{ bacteria per hour}$

b) Growth rates at t = 3 hours

$\displaystyle\frac{db(t)}{dt} \bigg|_{t=3}= 6^4-2(6^3)(3) = 0\text{ bacteria per hour}$

c) Growth rates at t = 6 hours

$\displaystyle\frac{db(t)}{dt} \bigg|_{t=6}= 6^4-2(6^3)(6) = -1296\text{ bacteria per hour}$

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4 years ago