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

1 answer

###### Question:

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

## Answers

Given:The function is [tex]f(x)=x^2[/tex]This function is changed to f(x)+9.To find:The effect on the graph of the function.Solution:The translation is defined as [tex]g(x)=f(x)+b[/tex] .... (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[tex]g(x)=f(x)+9[/tex] ...(2)From (1) and (2), we get[tex]b=9[/tex]So, the graph of f(x) shifts 9 units up as shown in the below graph.

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