Mathematics: Which function represents g(x), a reflection of f(x) = 6(1/3)^x across the y-axis?

Which function represents g(x), a reflection of

wrightlilybug07

13.03.2022

g(x)= $6(\frac{1}{3})^{-x}$

Step-by-step explanation:

a reflection of f(x) = 6(1/3)^x across the y-axis

Given f(x)= $6(\frac{1}{3})^x$

When graph of f(x) reflects across y axis then f(x) becomes f(-x)

For reflection across y axis we replace x with -x

f(x)= $6(\frac{1}{3})^x$

f(-x)= $6(\frac{1}{3})^{-x}$

f(-x) is a reflection across the y axis that is our g(x)

So g(x)= $6(\frac{1}{3})^{-x}$

0,0(0 оценок)

sonaihriley

10.03.2023

Step-by-step explanation:

when it is rotated -90 it is rotated counter clockwise and the 3 units lenght is now ot the y and the 1 unit is on the x

0,0(0 оценок)