Mathematics: The parent function f (x)= 2^xis reflected across the x-axis, then shifted 2 units left and 6 units down. Write an equation to represent the new function.

The parent function f (x)= 2^xis reflected across

anglekhan101

21.01.2022

$F(x) = 2^{x+2} - 6$

Step-by-step explanation:

To shift a function F(x) a units to the left, we do:

F(x) = F(x+a)

In this problem, we have that:

$F(x) = 2^{x}$

So, shifting 2 units left:

$F(x) = 2^{x+2}$

Then

To shift a units down, we do:

$F(x) = F(x) - a. So[tex]F(x) = 2^{x+2}$

Shifting 6 units down

$F(x) = 2^{x+2} - 6$

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trinityhayes347

06.05.2022

xy = 2.35

Step-by-step explanation:

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