Question

Select the correct answer. Consider the graph of f(x) given below. A curve labeled f of x rises through the points (negative 6, negative 7), (negative 4, negative 5), (negative 2, negative 3), (0, negative 1), (1, 0), (2, 1), (3, 2), (4, 3), (5, 4), (6, 5) and (7, 6) on the x y coordinate plane. The function g(x) is a transformation of f(x). If g(x) has a y-intercept at 3, which of the following functions could represent g(x)? A. g(x) = f(x) + 4 B. g(x) = f(x - 3) C. g(x) = f(x - 4) D. g(x) = f(x) + 3

Answer 1

Using translation concepts, a function that could represent g(x) is is given by:

A. g(x) = f(x) + 4.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The y-intercept of f(x) is given as follows:

(0, -1).

The y-intercept of g(x) is given as follows:

(0, 3).

Which is 4 more than the value of f(x), meaning that it could be a shift up of 4 units and option A is correct.

More can be learned about translation concepts at brainly.com/question/28416763

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