Functions f(x) and g(x) are shown below: f(x) g(x) f(x) = −4(x − 6)2 + 3 graph of cosine function which starts at 0 comma 2 and increases to the maximum at pi over 2 then decreases to the minimum at 2 pi where the cycle repeats courtesy of texas instruments using complete sentences, explain how to find the maximum value for each function and determine which function has the largest maximum y-value.

Since f(x) is written in vertex form with a negtive vertical expansion factor, we know it opens downward and the maximum is at the vertex, 3.

Since we have a graph of g(x), we can read the maximum from the graph, 4.

We can determine which function has the largest maximum by noting that the largest maximum is 4 and that it corresponds to function g(x).

i think it is 18

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have