Question

The graph of f(x) = x2 is shifted 3 units down to obtain the graph of g(x). Which of the following equations best describes g(x)?

g(x) = (x + 3)2
g(x) = x2 - 3
g(x) = x2 + 3
g(x) = (x - 3)2

Fan and Medal.. someone please help!!

Answer 1

Hey Jay c:\[\Large\rm f(x)=x^2\]
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To make a vertical translation we subtract that amount from y,\[\Large\rm v(x)-4=x^2\]adding 4 to the other side,\[\Large\rm v(x)=x^2+4\]That would translate our function 4 units `up`.
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To make a horizontal translation we subtract that amount from x,\[\Large\rm h(x)=(x-5)^2\]In this example, our function would translate 5 to the `right`.

Answer 2

thanks soo much !! @zepdrix ...

Answer 3

np c:
Able to figure out the correct answer?