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Use the graph of f(x)=x^2 to match the function to its corresponding graph. In words describe transformation that occurs (ex: The graph of f(x) is shifted 6 units to the left).
f(x)=x^2 g(x) =(x-2): h(x) = x^2-2 :i(x) = (x+3)^2 :j(x)=(x+1)^2+ 3
a.f(x) = 2x^2-7 shift down 7 then f(x)=2(x-8)^2-7 shift 8 units to the right
Find the domain of the function and express the answer in interval notation. Explain or show calculations.
a)F(x)=4x2- 7x +3b. g(x) = 10 x+7c) f (x) =sqrt 4x-16d) g(x) =2x/x-3e) f (x)=3x- 9
Find the equation of the horizontal asymptote of the function: g(x) =5x^2 -4/x+1Find the equations of both the vertical and horizontal asymptotes of the function: f(x) =3x-1/x+4
Automorphisms and Conjugation, Show that if H is any group then there is a group G that contains H as a normal subgroup with the property that for every automorphism f of H there is an element g of G such that the conjugation by g
Determine the following values
a carpenter is building a rectangular room with a fixed perimiter of 300 ft. What dimensions would yield the maximum area? what is the maximum area?
Probability of Lamp Failure, A lamp has two bulbs, each of a type with an average lifetime of 6 hours. The probability density function for the lifetime of a bulb
Explain Probability of drawing apples from a sample, There are 8 spoiled apples in a container of 27 apples set for inspection. A sample is drawn, for 4 apples at random
An access ramp rises 3.2 ft over a distance of 30 ft. What is the average angle of the ramp with the horizontal?
if a spool has a dimater of 7 centimeters, how many revolutions of the spool would you need to wind up a kite string that is 30 meters long? Please show work.
Choose the equation for the hyperbola centered at the origin with the given characteristics:
the probability of a student passing math in the first year university is 75% and passing chemistry is 80%. Passing both is 95% thw what is the probability of a student passing math given that they pass chemistry?
Calculate the yield of a wafer with a 15 cm diameter, a cost of 12, contains 84 dies and has a 0.020 defects/cm^2
A feasible solution to an LP problem
Use a Venn diagram and the given information to estimate the number of elements in the indicated region.
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