to shift the graph of f(x) right by h and up by k,
y-k = f(x-h)
So, g(x) can be written
g+3 = f(x+1)
so, it is the graph of f shifted left 1 and down 3
-f(x) is f(x) reflected in the x-axis, since the sign of y changes.
f(2x) is the graph of f shrunk horizontally by a factor of 2, since 2x changes twice as fast as x. Everything shows up half as far away.
-f(x) is f(x)
reflected in the x-axis and shrunk horizontally by a factor of 2. Or, if you will, dilated by 1/2.
Hello I'm stuck with these two questions
The point (1,-2) is on the graph of . Describe the following transformations on , and determine the resulting point.
a) g(x)=f(x+1)-3
b) -f(2x)
2 answers
is the new point for a) (1,1)