Question

I need help on this asap!!!!!!!!!!!!!!!!!!!

Answer 1

The function which is created by shifting the graph of function f up 5 units is  $f(x)=4^x-1$

So, Option A is correct.

Step-by-step explanation:

We are given function: $f(x)=4^x-6$

We need to determine the function which is created by shifting the graph of function f up 5 units.

The translation is vertical

If g(x)=f(x)+h then the graph is shifted up h units.

So, Applying translation:

$f(x)=4^x-6$

$g(x)=(4^x-6)+5$

Simplifying:

$f(x)=4^x-6+5$

$f(x)=4^x-1$

The function which is created by shifting the graph of function f up 5 units is  $f(x)=4^x-1$

So, Option A is correct.

Keywords: Transformation

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