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The function h(x) is vertically stretched by a factor of and is shifted 3 units to the left and shifted 2 units up.
Explanation:
The parent function is
The translated function is
By using the function transformation rules, the translated function h(x) is stretched vertically by a factor of
Also, from the function transformation rules, we know that, shifts the function b units to the left.
Thus, the translated function h(x) is shifted 3 units to the left.
By using the function transformation rules, we know that, shifts the function b units upward.
Thus, the translated function h(x) is shifted 2 units upwards.
Thus, the translated function h(x) is vertically stretched by a factor of and is shifted 3 units to the left and shifted 2 units up.