SOLUTION: Suppose the graph of f is given. Describe how the graph of each function can be obtained from the graph of f: a. y = f(x+5) Shift the graph of y=f(x) to the left 5 units b. y

Algebra ->  Functions -> SOLUTION: Suppose the graph of f is given. Describe how the graph of each function can be obtained from the graph of f: a. y = f(x+5) Shift the graph of y=f(x) to the left 5 units b. y       Log On


   



Question 45022This question is from textbook College Algebra
: Suppose the graph of f is given. Describe how the graph of each function can be obtained from the graph of f:
a. y = f(x+5) Shift the graph of y=f(x) to the left 5 units
b. y = f(x) + 5 Shift the graph of y=f(x) upward 5 units.
Thank you so much once again!
This question is from textbook College Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a. y = f(x+5) Shift the graph of y=f(x) to the left 5 units
y=f(x+5+5)=f(x+10
Adding 5 makes the x vales occur earlier, i.e. what would
happen at x=5 happens at x=0.


b. y = f(x) + 5 Shift the graph of y=f(x) upward 5 units.
Moving upward means you have to add to the y value.
So, instead of y=f(x)+5 it is f(x)+5 +5 or f(x)+10
Cheers,
Stan H.