Question

Please help me with this question so I can better help my son to understand this better. I have attached the graph that were working from below? The graph shows f(x)and its transformation g(x).Enter the equation for g(x) in the box.g(x) =

Answer 1

g(x) = 2ˣ⁺² or 2^(x + 2)

`g(x)=2^(x+2)`

Step-by-step explanation

When a function f(x) is translated horizontally along the x-axis by a units, the new function is represented as

f(x + a) when the translation is by a units to the left.

f(x - a) when the translation is by a units to the right.

Looking at the coordinates of the points given on f(x) and g(x), we can see that g(x) is just f(x) translate 2 units to the left.

Hence, if f(x) = 2ˣ

g(x) = f(x + 2) = 2ˣ⁺² or 2^(x + 2)

Hope this Helps!!!