The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1.
Asked by maham237 @ in Mathematics viewed by 383 People
Which graph represents g(x)?
Answered by maham237 @
The graph of and the graph of
. These two graphs are illustrated in the Figure bellow. So, let's explain what this means:
- For a function f(x), a new function g(x) = f(x - c) represents to shift the graph c units to the right.
- For a function f(x), a new function g(x) = f(x) + k represents to shift the graph k units upward.
Since in our problem the function g(x) = f(x - c) + k, we have shifted the function f(x) c units to the right and k units upward, that is, we have shifted the function f(x) 5 units to the right and 1 unit upward as indicated in the Figure bellow.
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