#1,2,4: translation up or down is done by adding or subtracting from y.
If y = f(x)
then y = f(x) +3 shifts the graph up.
#3: reflection through the x-axis is done by changing the sign of y. What was above goes below, etc.
y = -f(x) reflects f(x) through the x-axis.
#5: replacing x with (x-h) shifts the graph to the right.
replacing x by (x+h) shifts to the left by h.
There are lots of good online graphing sites.
desmos and wolframalpha come to mind.
Enter your functions and see what happens.
1. Describe how the graphs of y=|x| and y=|x|-15 are related.
2. Graph y=|x|-2.
3. Graph y=-|x-4|.
4. Write an equation for the translation of y=|x|, 2 units down.
5. Graph the equation by translating y=|x|, y=|x+7|
2 answers
I use mathway for quick checks after brainly and jiskha... Just saying