Question

Function g is a transformation of function f.

Graph shows 2 exponential functions. First curve f enters quadrant 3 at (minus 6, minus 2) rises through (0, minus 1) and (1, 0) and (2, 2) in quadrant 1. Second curve g enters quadrant 2 at (minus 6, 6) falls through (0, 3) and (1, 0) in quadrant 1.

What is the equation of function g?

g(x) = f(x)

Answer 1

The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given:

genera form of an exponential function is  y=aeᵇˣ

Now, equation for f(x) is

f(x) = $e^{(log \;2)x} -2$

Similarly, graph for g(x) is

g(x) = $-3e^{(log \;2)x} +6$

Comparing the two function a relation can  be establish

g(x) = -3[f(x)]

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