Question 146287
Let {{{R(x)=(x^3-7)/(x^2+1)}}}; what happens to {{{R(x)}}} if we now have {{{R(x)-3}}}?
a)It shifts 3 units to the left
b)It shifts 3 units down
c)It shifts 3 units to the right
d)It shifts 3 units up
<pre><font size = 4 color = "indigo"><b>
Rules for shifting and reflecting:

If we had R(x+3), the shift in R(x) would be 3 units to the left.
If we had R(x-3), the shift in R(x) would be 3 units to the right.
If we had R(-x), the graph R(x) would be reflected in the y-axis.
If we had -R(x), the graph R(x) would be reflected in the x-axis.
If we had R(x)+3, the shift in R(x) would be 3 units up.
<font color = "red">If we had R(x)-3, the shift in R(x) would be 3 units down.
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So the answer is b).

Edwin</pre>