SOLUTION: Describe how the graphs of y = absolute value of x,and y = absolute value of X -15 are related. 1- The graphs have the same shape. The y intercept of y = absolute x is 0, and th

Algebra ->  Graphs -> SOLUTION: Describe how the graphs of y = absolute value of x,and y = absolute value of X -15 are related. 1- The graphs have the same shape. The y intercept of y = absolute x is 0, and th      Log On


   



Question 933120: Describe how the graphs of y = absolute value of x,and y = absolute value of X -15 are related.
1- The graphs have the same shape. The y intercept of y = absolute x is 0, and them x intercept of the 2nd graph is -15.
2-m The graphs have the same y intercept. The second graph is steeper than y = absolute X.
3-The graphs are the same.
4-The graphs have the same shape. The y- intercept of y =absolute X is 0, and the y intercept of the second graph is-15.

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The functions are y=abs%28x%29 and y=abs%28x-15%29 .
Neither function has a -15 for any kind of intercept,
and they have different y-intercepts,
so none of those 4 options is true.
The graph of y=abs%28x%29 is graph%28300%2C300%2C-10%2C10%2C-2%2C18%2Cabs%28x%29%29 and the graph of y=abs%28x-15%29 is graph%28300%2C300%2C-2%2C18%2C-2%2C18%2Cabs%28x-15%29%29 .
The graph of y=abs%28x-15%29 has the same shape as the graph of y=abs%28x%29 ,
but the graph of y=abs%28x-15%29 is shifted to the right by 15 units.
The graph of y=abs%28x%29 has the origin , system%28x=0%2Cy=0%29 , its
y-intercept, and its x-intercept.
The graph of y=abs%28x-15%29 has as its x-intercept, at system%28x=15%2Cy=0%29 ,
where x-15=0 and so is its absolute value,
and a y-intercept is the point where system%28x=0%2Cy=15%29 ,
or the value , 15 , of the y-coordinate at that point.