The equation for for G( X) Was obtained by transformingf(x)=1/x. Which description best describes the transformation performed on f(x)to obtain g(x)?

Question

HaigenZ354874 HaigenZ354874

31-10-2022
Mathematics

contestada

The equation for for G( X) Was obtained by transformingf(x)=1/x. Which description best describes the transformation performed on f(x)to obtain g(x)?

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SaliyahT407727 SaliyahT407727 · Answer 1 · 2022-10-31T09:43:53+01:00

ANSWER:

Vertical stretch by a factor of 2 and shifted left by 16 units

Solution:

Since the x in the g(x) has a +16 with it. According to transformation rules, this indicates a horizontal translation to the left.

Since the 1/(x+16) is multiplied by 2. According to transformation rules, this indicates a vertical stretch

To visualize, we have the graph below. The blue line is for f(x), the orange line is for g(x). We can see that it is indeed shifted to the left. Also, it seems broader or stretched.