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andriy [413]
2 years ago
9

Write a rule for the function whose graph can be obtained from the given parent function by performing the given transformations

. parent function: f(x)=x^3
transformation: shift the graph 5 units to the left and upward 4 units
Mathematics
1 answer:
kati45 [8]2 years ago
7 0

ANSWER

g(x) =   {(x + 5)}^{3}  + 4

EXPLANATION

Given the parent function:

f(x) =  {x}^{3}

If we shift the graph of f(x), 5 units to the left, then the new rule is

x \to \:  {(x + 5)}^{3}

If we again, shift this graph upward by 4 units, then the completely transformed function will have the rule,

x \to \:  {(x + 5)}^{3}  + 4

Or

g(x) =   {(x + 5)}^{3}  + 4

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