Which function represents g(x), a reflection of f(x) = on a coordinate plane, 2 exponential functions are shown. g (x) decreases in quadrant 2 and approaches y = 0 in quadrant 1. it goes through (negative 1, 1) and crosses the y - axis at (0, 0.)x across the y-axis? g(x) = 2(3)x g(x) = −one-half(3)x g(x) = one-half(3)−x g(x) = 2(3)−x

Step-by-step explanation:

Given:

The graph of function are given.

The equation for is given as:

Now, the graph of is a reflection of .

The graph of passes through the point (-1, 1.5) [second quadrant] and crosses the y-axis at (0, 0.5).

As evident from the graph, the functions are reflections about the y-axis.

We know the transformation rule for reflection about the y-axis as:

Now, the y-intercept of the function is obtained by plugging in . This gives,

So, the y-intercept is at (0, 1). But the graph of crosses the y-axis at (0, 0.5). As we observe, the coordinate rule for the transformation can be written as:

(0, 1) → (0, 0.5)

So, the reflected graph is compressed vertically by a factor of .

Therefore, the transformation is given as:

Therefore, the equation for is:

12cm

the answer is d

what is the information provided?

step-by-step explanation: