0
A quadratic function is of the form:
f(x) = ax2 + bx + c where a ≠0
If a > 0 then the quadratic has a minimum but its maximum, asymptotically, is +∞.
If a < 0 then the quadratic has a maximum but its minimum, asymptotically, is -∞.
The extremum (whichever it is) is attained when x = -b/2a.
The extreme value is f(-b/2a) = a*(-b/2a)2 + b(-b/2a) + c
= b2/4a - b2/2a + c = -b2/4a + c
Still curious? Ask our experts.
Chat with our AI personalities
Steve
Coach
LaoAdd your answer:
Earn +20 pts
What formula with functions can you enter to calculate the ratio of the maximum value in the range z1z10 to the minimum value?
It is max(z1,...,z10)/min(z1,...,z10).
How far will you travel at 120 mph in 1 minute?
120 mi/hr * 1/60 hr/min = 2 mi/min
A student needs 8 minutes to solve a math problem how many can he solve in 64 minutes?
8. 8(number of min.) x _ = 64 (number of min.) 8x_=64 and _=8
2.6 km in 13 minutes average speed?
1 hr=60 min or 60 min=1 hr or 1 min=1/60 hr ==>13min=13/60hr now, speed = distance/time = 2.6X13/60 = 0.564 km/hr or 0.564X5/18 m/s = 0.156 m/s.
A tanker ship is off-loading its oil tank at a terminal It takes 20 minutes to fill a 700 gallon tank What is the average flow rate of oil into the truck in gallons per hour?
700 gal/ 20 min = 35 gallons/ 1 min * 60 min/ 1 hour= 2100 gallons per hour.
