Question

The graph showsf(x)and its transformationg(x).

Enter the equation for g(x) in the box.

ANSWER: 2x+1

Answer 1

Unfortunately, I cannot see the graph you are referring to. However, if the graph shows a linear function f(x) and its transformation g(x), and g(x) is obtained by shifting f(x) horizontally 1 unit to the left and vertically 1 unit upwards, then the equation for g(x) would be g(x) = f(x + 1) + 1. If f(x) is a linear function of the form f(x) = mx + b, then the equation for g(x) would be g(x) = m(x + 1) + b + 1, which simplifies to g(x) = mx + (m + 1). If you provide more information about the graph, I can help you find the equation for g(x).

ANSWER: 2x+1

Answer 2

Answer: 2x + 1

Step-by-step explanation:

The graph of f(x) is a straight line passing through the points (0,1) and (3,4). The slope of this line is (4-1)/(3-0) = 1, and the y-intercept is 1.

The graph of g(x) is a transformation of f(x) obtained by shifting it 1 unit upwards and 1 unit to the left. Therefore, the equation for g(x) is:

g(x) = f(x+1) + 1

Substituting f(x) with its equation, we get:

g(x) = (x+1) + 1

Simplifying:

g(x) = 2x + 2

Finally, we can rewrite the equation of g(x) in the standard form as:

g(x) = 2x + 1

Therefore, the equation for g(x) is 2x+1.