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Svetlanka [38]
2 years ago
11

If the graph is reflected across the y-axis, what will be the equation of the new graph?

Mathematics
2 answers:
Alexxandr [17]2 years ago
6 0

Step-by-step explanation:

If the graph is reflected across the y-axis, what will be the equation of the new graph?

a) y=-3^-x+1

b) y=3^-x+1

c) y=-3^x-1

d) y=-3^x+1

Bumek [7]2 years ago
5 0

Answer:

\displaystyle b)y =  { 3}^{ - x}  + 1

Step-by-step explanation:

we are given a exponential function

\displaystyle y =  {3}^{x}  + 1

we want to figure out the equation of the new graph reflected across the y-axis

remember that,

\rm\displaystyle (x,y) \xrightarrow{ \text{ reflection  over  y - axis}}( - x,y)

let y be 3^x+1 so,

\rm\displaystyle (x,y) \xrightarrow{ \text{ reflection  over  y - axis}}( - x, {3}^{ - x} + 1 )

hence,

the equation of the new graph

\displaystyle y =  { 3}^{ - x}  + 1

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