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

Answer

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Answer

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

Steps

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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