Answer:
Option D -[tex]f(x)=x^2-4[/tex]
Step-by-step explanation:
Given : The graph of [tex]g(x)=x^2[/tex] 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.
[tex]f(x)=x^2-4[/tex]
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 [tex]f(x)=x^2-4[/tex]
