Determine whether the quadratic function shown below has a minimum or maximum, then determine the minimum or maximum value of the function.
f(x) = -(x – 6)2 – 1
The
value is

Step-by-step explanation:

f(x) = -(x-6)² - 1 = -(x² - 2×6x + 6²) - 1 = -x² + 12x - 37

since x² has a much bigger progression than 12x for growing values of x (and the constant -37 plays no role at all), -x² and with it the whole expression goes to -infinity when x goes to + or - infinity.

so, depending on the directions from your teacher the minimum is either -infinity or does not exist (as infinity is not a value).

now the maximum is at the extreme point of the curve. that is at the point where the square function curve turns around.

the easiest way to find this is finding the x value, for which the first derivative of f(x) is 0.

f'(x) = -2x + 12

-2x + 12 = 0

12 = 2x

x = 6

so, the maximum for f(x) happens at the point x=6.

and what is f(6) ?

f(6) = -(6)² + 12×6 - 37 = -36 + 72 - 37 = 72 - 73 = -1

so, the maximum of f(x) = -1

points are handed out whenever you post answers.

brainliest answers are handed out by the person asking the question, so whether your answer is picked depends entirely on whether the asker bothers to pick

if you're asking about your rank, it depends on having a certain number of points and a certain number of brainliest answers. for example, at the time of this writing, i have 44338 points out of 15000 needed for the next (nearly triple the requirement! ) but i only have 24 out of 50 required brainliest answers. this number decays, meaning after a certain amount of time (i think about a month), the total number of brainliest answers you've earned doesn't count toward this total. (i've been stuck at the same rank for a long

the lesson to learn here is that you shouldn't worry about points or rank. chances are, no matter how good an answer you may provide, your efforts will go mostly unnoticed unless you focus on the newest/most active questions that get posted.

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )