You can put this solution on YOUR website! describe the graph of each function
y=sqrt x+3
and
y=x/3
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y=sqrt x+3
The graph below shows the basic sqrt function, y=√x and what happens to the curve when you add 3 to it to get y=√x+3 (green curve) All you are doing is bumping the basic curve 3 units up. Note that the domain of a sqrt function is x>=0.
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y=x/3
y=x is the form for a straight line equation, y=mx+b, m=slope and b is the y-intercept. Since both m and b do no appear in the equation, the slope, m=1 and the y-intercept goes thru the origin as shown by the graph below. When you divide the function by 3 to get x/3, all you are doing is changing the slope, m from 1 to 1/3 with no change to the y-intercept.
The graph below shows the basic function, y=x and what happens to the line when you divide x by 3.
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