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Answer:
g(x)[tex]\[ = \left| {4(x + 1)} \right| + 5\][/tex]
Step-by-step explanation:
Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis.
[tex]\[g\left( x \right) = f\left( x \right) + K\][/tex], where K is the shift
Thus, [tex]g(x)\[ = \left| {4(x + 1)} \right| + 5\][/tex] or [tex]\[\left| {4x} \right| + 9\][/tex]
Learn more about transformation of graph:
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