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The graph of f(x) shown below has the same shape as the graph of g(x)= x^2 which of the following is the equation of f(x)

The graph of f(x) shown below has the same shape as the graph of g(x)= x^2 which of-example-1
User Ballon Ura
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2 Answers

1 vote

Answer:

f(x)=x^2-4

Explanation:

So you know that the graph f(x)=x^2 has an origin at (0,0). The x coordinate of the minimum still is 0, but it has been shifted down 4, therefore:

f(x)=x^2-4

User Gal Sisso
by
7.9k points
2 votes

Answer:

Option D -
f(x)=x^2-4

Explanation:

Given : The graph of
g(x)=x^2 and the graph of f(x) which is same shape as the graph of g(x).

To find : The equation of graph F(x)

Solution :

Since, According to the given statement we get f(x) by doing some changes in g(x).

In the graph, it seems that f(x) is shifting vertically downward by 4 unit than g(x).

When the function is shifted to vertically downward then

i.e, f(x) → f(x)-b ⇒ f(x) shifted downward by b unit.


f(x)=x^2-4

The graph of f(x) is in the direction of graph g(x).

Therefore, Option D is the correct.

The equation of graph f(x) is
f(x)=x^2-4

User VBart
by
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