Dharma graphed the parents function f(x)=x and h(x) on the same grid. If h(x) is steeper than the parents function and shifted to the right, which of the following could represent h(x)? 1. H(x)=3f(x-5) 2. None of these 3. H(x)= -f(x) 4. H(x)=0.5(x-2) 5. H(x)=2f(x)+6

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A: Please see the below picture for detailed solution.