The work of a student to solve a set of equations is shown:
1 answer:
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Answer:
The required function is .
Step-by-step explanation:
The given parent function is
The transformation of a parent function is defined as
Where, k represents the vertical stretch or compression, a represents the horizontal shift and b represent the vertical shift.
→ If |k|>1, then it represents vertically stretch and If |k|<1, then it represent vertically compression.
→ If a>0, then f(x) shifts left by a units and If a<0, then f(x) shifts right by a units.
→If b>0, then f(x) shifts upward by b units and If b<0, then f(x) shifts downward by b units.
Since the graph of f(x) has been vertically compressed by a factor of one-half shifted to the right three units and down two units.
The graph of required function is
Therefore the required function is .