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juniorvalencia4
12.10.2019 •
Mathematics
Each statement describes a transformation of the graph of f(x) = 3x. which statement correctly describes the graph of g(x) = 3(x - 5) + 4?
a.
the graph of g(x) is the graph of f(x) translated up 4 units and left 5 units.
b.
the graph of g(x) is the graph of f(x) translated down 5 units and left 4 units.
c.
the graph of g(x) is the graph of f(x) translated down 5 units and right 4 units.
d.
the graph of g(x) is the graph of f(x) translated up 4 units and right 5 units.
the population of a small town, p, as a function of time, t, in years past 1940 is given below.
p = 3,236 + 275t
for which of the following years was the population of the town 9,836?
a.
1974
b.
1934
c.
1964
d.
1924
Solved
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Ответ:
D
Step-by-step explanation:
Compare the original function f(x) = 3x to the modified function g(x) = 3(x-5)+4
In g(x) we are subtracting 5 from x and because it's being done to x it means the shift is horizontal (just like the x-axis is horizontal). To figure out which way the graph shifts make that expression equal to zero and solve:
x-5 = 0
x=5 > positive 5 so this means 5 units to the right.
The +4 is being added to the entire function and this means it moves up 4 because it's positive 4.
Ответ: