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question 17 (fill-in-the-blank worth 1 points) (09.01) the following graph shows the functions f(x) and g(x): graph of function f of x equals x squared and graph of function g of x equals x squared plus 5 the function g(x) is obtained by adding _______ to f(x). (only input integers) numerical answers expected! answer for blank 1:

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5____________________________

Answer:

5

Step-by-step explanation:

Here, the given function,

[tex]f(x)=x^2----(1)[/tex]

[tex]g(x)=x^2+5----(2)[/tex]

Let g(x) is obtained by adding k to f(x),

That is,

[tex]g(x)=f(x)+k[/tex]

From equations (1) and (2),

[tex]x^2+5=x^2+k[/tex]

[tex]\implies k = 5[/tex]

Hence, g(x) is obtained by adding 5 to f(x).

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