Question

What is the effect on the graph of f(x)=1/x when it is transformed to g(x)=1/x+9?

A. The graph of f(x) is shifted 9 units up.

B. The graph of f(x) is shifted 9 units to the right.

C. The graph of f(x) is shifted 9 units to the left.

D. The graph of f(x) is shifted 9 units down.

Answer 1

Answer: A is the correct answer

Answer 2

The effect on the graph of f(x) when it transformed to g(x) is the graph of f(x) is shifted 9 units up.

The correct answer is an option (A)

What is function?

• "It defines a relation between input and output values."
• "In function, for each input there is exactly one output."

What is graph of a function?

"It is a set of points which satisfies given function."

For given question,

We have been given two functions $f(x)=\frac{1}{x}$ and $g(x)=\frac{1}{x}+9$

We know that if function f(x) is transformed to f(x) + k where k > 0, then it translates upward k units.

The function g(x) is f(x) + 9

This means, the graph of function g(x) is the graph of function f(x) shifted 9 units up.

Therefore, the effect on the graph of f(x) when it transformed to g(x) is the graph of f(x) is shifted 9 units up.

The correct answer is an option (A)

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