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