Question

What is the effect on the graph of the function f(x)=x^2 when f(x) is changed to f(x)+9

Answer 1

Explanation:

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Answer 2

Given:

The function is

`f(x)=x^2`

This function is changed to f(x)+9.

To find:

The effect on the graph of the function.

Solution:

The translation is defined as

`g(x)=f(x)+b` .... (1)

Where, b is vertical shift. If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The new function is

`g(x)=f(x)+9` ...(2)

From (1) and (2), we get

`b=9`

So, the graph of f(x) shifts 9 units up as shown in the below graph.