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babymother [125]
3 years ago
14

The black graph is the graph of y=f(x). Choose the equation for the red graph. Please help!!

Mathematics
1 answer:
yan [13]3 years ago
8 0

Answer:

B

Step-by-step explanation:

The black graph is the graph of y=f(x).

The red graph is the reflection of the black graph across the y-axis.

A. y=f(x-1) determines the translation of the graph y=f(x) one unit to the right.

B. y=f\left(\dfrac{x}{-1}\right) determines the reflection of the graph y=f(x) across the y-axis.

C. y-1=f(x),\ y=f(x)+1 determines the translation of the graph y=f(x) one unit up.

D. \dfrac{y}{-1}=f(x),\ y=-f(x) determines the reflection of the graph y=f(x) across the y-axis.

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The sum you are trying to understand is this.

\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n}

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\sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n =  \frac{2}{1-(-1/15)} = \frac{2}{1+1/15} = 30/16  = 15/8

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