Problem

What is the equation of the function with the description below? * 1 point \( f(x)=5^{x} \) will be reflected over the \( x \)-axis and horizontally translated 3 units left. a. \( g(x)=5^{-x-3} \) b. \( g(x)=5^{-x+3} \) c. \( g(x)=-(5)^{x+3} \) d. \( g(x)=-(5)^{-x+3} \) e. \( g(x)=-(5)+3 \) a b c d e

Solution

Step 1 :\( g(x)=-5^{x} \) for reflection over x-axis

Step 2 :\( g(x)=-5^{x+3} \) for horizontal translation 3 units left

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Source: https://solvelyapp.com/problems/41287/

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