Describe the graph y = 3x + 5 in relation to the parent graph y =x.

Question

anonymous · Answer

answers could be
The graph has been shifted up 5 units (y-intercept) and the line is steeper since the slope changed from 1 to 3. 


      
The graph has been shifted up 3 units (y-intercept) and the line is steeper since the slope changed from 1 to 5.


      
The graph has been shifted to the left 5 units (x-intercept) and the line is not as steep.


      
The graph has been shifted to the right 5 units (x-intercept) and the line is not as steep.

anonymous · Answer

First of all, observe that y=3x will reach higher values of y in short time compared to y=x. You can put values and check for yourself. Then, you can see in the given equation that a +ve 5 has been added to 3x which just means that the graph has been shifted from its original position 3 spaces upwards along the +ve y axis. If you have difficulty visualizing it, try this online graphing calculator to see what I mean. http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html

anonymous · Answer

You will see that the 1st statement is the correct one.Hope this helps.