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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

If the graph is reflected across the y-axis, what will be the equation of the new-example-1
User Elida
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1 Answer

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Answer:


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

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

If the graph is reflected across the y-axis, what will be the equation of the new-example-1
User Ma Ming
by
8.1k points

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