Answer:
(c) r units right
Step-by-step explanation:
The translation transformations are ...
g(x) = f(x -h) +k . . . . . . . shifts h units right and k units up
Your transformation has h=r and k=0, so the graph is shifted r units right and no units vertically.
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<em>Additional comment</em>
This in not terribly mysterious. Suppose you have f(1) = 6. This means the point (1, 6) is on the graph.
Now, suppose you transform this to ...
g(x) = f(x -2)
When the value of x is 3, the value of g(x) is f(3-2) = f(1) = 6. That means the point (3, 6) is on the graph of g(x).
It is the same as the point (1, 6) on the graph of f(x), but shifted 2 units to the right.
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You can shift a function r units right by replacing x with (x-r), as we just discussed. You can shift a function u units up by replacing y with (y-u). When we write equations in "functional form", the "u" gets "moved."
y-u = f(x) . . . . . graph of f(x) shifted u units up
y = f(x) +u . . . . graph of f(x) shifted u units up. (u added to both sides of the above equation)
Answer:
a=8, -8
Step-by-step explanation:
a^2-15=49
a^2=49+15
a^2=64
a=sqrt(64)
a=8, -8
X=2.. start off with the numbers you know then do trial and error with the options you have
X is the input and y is the output, "more" indicates addition, so 11 more than the input equals x + 11. Answer: y = x + 11
Answer:
answer is D.
Step-by-step explanation:
divide 2550 and 3.2 and get 796.875. multiply that by 3 and you get 2390.625.