Question 1080177
.
Write a function whose graph represents the indicated transformation of the graph of f. f(x)=|x+3|; vertical shrink by factor 
of 1/4 and a translation 4 units up.
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<pre>
1.  After vertical shrink by factor of 1/4

          (I'd said "vertical extension by factor of 1/4 . . . ")


    g(x) = {{{(1/4)*f(x)}}} = {{{(1/4)*abs(x+3)}}}.



2.  After translation 4 units up

    h(x) = g(x) + 4 = {{{(1/4)*abs(x+3) + 4}}}.
</pre> 


{{{graph( 330, 330, -6.5, 6.5, -1.5, 10.5,
          abs(x+3), (1/4)*abs(x+3), (1/4)*abs(x+3)+4
)}}}


Plot f(x) = {{{abs(x+3)}}} (red), g(x) = {{{(1/4)*abs(x+3)}}} (green), and h(x) = {{{(1/4)*abs(x+3)+4}}} (blue).