Question

What is the effect on the graph of f(x) = x2 when it is transformed to

h(x) = 1/5x^2 +12?
O A. The graph of f(x) is horizontally compressed by a factor of 5 and
shifted 12 units up.
O B. The graph of f(x) is horizontally stretched by a factor of 5 and
shifted 12 units to the left.
C. The graph of f(x) is vertically compressed by a factor of 5 and
shifted 12 units up.
O D. The graph of f(x) is vertically compressed by a factor of 5 and
shifted 12 units to the left.
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Answer 1

The graph of f(x) = x^2 is vertically compressed by a factor of 5 and shifted 12 units up.

Step-by-step explanation:

The effect on the graph of f(x) = x^2 when it is transformed to h(x) = (1/5)x^2 + 12 is that the graph of f(x) is vertically compressed by a factor of 5 and shifted 12 units up.

Vertically compressing a function means that the y-values are multiplied by a number less than 1, which makes the graph shorter and narrower. Shifting the graph up means that all the y-values are increased by 12 units.