You can put this solution on YOUR website! graph y=4-|x-3| and label the intercepts
The y-intercept is found by letting x=0 and solve for y:
y=4-|0-3|
y=4-|-3|
y=4-3
y=1 The y-intercept is (0,1)
:
The x intercepts are found by letting y=0 and solve for x:
0=4-|x-3|
-4=-4+4-|x-3|
-4=-|x-3|
-(-4)=-(-|x-3|)
4=|x-3|
4=x-3 or 4=-(x-3)
4+3=x-3+3 or -4=-(-(x-3))
7=x or -4=x-3
7=x or -1=x The x-intercepts are: (-1,0) and (7,0)
:
I can't label the graph, but you should be able to see we're right.
Happy Calculating!!!
(