Question 1118781
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For clarity, there should be parentheses around the coefficient: (1/2)|x-4|-5.<br>
a.  The parent function is f(x) = |x|<br>
b.
-Vertical shrink  --  yes; the factor (1/2) shrinks the graph vertically.
-Horizontal shrink  --  no.  A horizontal shrink is the same as a vertical stretch; this function has a vertical shrink.
-Horizontal shift of 4 units to the left  --  no.  (see next item)
-Horizontal shift of 4 units to the right  --  yes;  "x-a" shifts the graph RIGHT a units
-Vertical shift of 5 units downward  --  yes; the "-5" at the end shifts the graph down 5 (or "up -5")