Question

what transformations change the graph of f(x) to the graph of g(x) ?
f(x)=x^2
g(x)=(x+3)^2-7
A) the graph of g is graph of f translated to the right 3 units and up 7 units.
B) the graph of g is the graph of f translated to the left 3 units and down 7 units.
C) The graph of g is the graph of f translated up 3 units and to the left 7 units.
D) The graph of g is the graph of f translated down 3 units and to the right 7 units.

Answer 1

Remember that
\((x-a)\) translates x values to the right by a distance \(a\)
\((x)+b\) translates y values upward by a distance \(b\)

Answer 2

Keep in mind that \((x-a)\), albeit counter intuitive, translates to the RIGHT despite the negative.

Answer 3

So The Answer is B , Correct ?

Answer 4

Sounds good to me! X) In case you get confused later, I recommend referring to this website: http://www.purplemath.com/modules/fcntrans.htm

Answer 5

Thank You !