Answer :
A function which is shown in the graph above include the following: D. y = 2ˣ ⁺ ³ + 2.
What is a translation?
In Mathematics, the translation of a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image or function.
On the other hand (conversely), the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or function.
By critically observing the graph of this function, we can logically deduce that its root expression is given by y = 2^x. Next, we would translate the graph of this function by 3 units to the left and 2 units upward as follows;
g(x) = f(x + N) + 2
g(x) = 2^(x + 3) + 2
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