Question

Need help quickly! Thanks

Answer 1

y =
`-2^x`

Explanation:

If the equation of a function is in the form of y = h(x)

When the graph of this function is reflected across x-axis,

Transformed function will be,

y = -h(x)

Further reflected across y-axis, then the transformed function will be,

y = -h(-x)

By this rule,

Given equation when reflected across x-axis,

y =
`-((1)/(2))^(x)`

Further reflected across y-axis,

y =
`-((1)/(2))^(-x)`

y =
`-(2^(-1))^x`

y =
`-2^x`