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Which of the following functions shows the linear parent function, f(x)=x, shifted up?

Which of the following functions shows the linear parent function, f(x)=x, shifted-example-1

1 Answer

4 votes

Answer:

B

Explanation:

If we have a general function g(x) = x, the transformations on this can be as follows:

[note a, b are constants]

  • x + a [a units shifted up]
  • x - a [a units shifted down]
  • bx [scaled by factor of b]

From the 3 transformation rules, we can see that if we "ADD" a number to the function f(x) = x, we will get shifting UPWARDS.

From the answer choices, we can thus say that B is correct.

G(x) = x + 8

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