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Answer:
The graph stretches horizontally by a factor of 4 and shifted up by 1 unit.
Step-by-step explanation:
Given:
The function is given as:
The function is given as:
The function 'g' can be rewritten as:
So, the 'x' value of 'f' is multiplied by and 1 unit is added to the function to get the function 'g'.
Therefore, as per transformation rules:
1.
- If C > 1 ⇒ The graph compresses in the x direction.
- If 0 < C < 1 ⇒ The graph stretches in the x direction by factor of 1/C.
2.
- If C > 0 ⇒ The graph shifts up by 'C' units.
- If C < 0 ⇒ The graph shifts down by 'C' units.
Therefore, the graph of stretches in the x direction(horizontally) by a factor of 4 and shifts up by 1 unit to get
.