Write a rule for g that represents a translation 2 units down, followed by a reflection in the y-axis of the graph of f(x)=5^x

answer

explanation

the given equation is

we can rewrite this as:

let

then the equation becomes:

the factors of 8 that sum up to -9 are {-1,-8}

we split the middle term with these factors to obtain,

we factor by grouping to obtain:

apply the zero product property to get:

but

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