(50 POINTS) Which of the following represents the graph of f(x) = 2(x + 3)?

a. Graph begins in the second quadrant near the line y equals negative 3 and increases slowly while crossing the ordered pair 0, negative 2. The graph then begins to increase quickly throughout the first quadrant.

b. Graph begins in the second quadrant near the axis and increases slowly while crossing the ordered pair 3, 1. The graph then begins to increase quickly throughout the first quadrant.

c. Graph begins in the second quadrant near the x axis and increases slowly while crossing the ordered pair negative 3, 1. The graph then begins to increase quickly while entering the first quadrant.

d. Graph begins in the second quadrant near the line y equals 3 and increases slowly while crossing the ordered pair 0, 4. The graph then begins to increase quickly while entering the first quadrant.

50 POINTS Which of the following represents the graph of fx 2x 3 a Graph begins in the second quadrant near the line y equals negative 3 and increases slowly wh class=

Respuesta :

Answer: C

Step-by-step explanation:

"Graph begins in the second quadrant near the x-axis and increases slowly while crossing the ordered pair (-3, 1). The graph then begins to increase quickly while entering the first quadrant."

This description aligns with the characteristics of the linear function. The negative x-value of -3 corresponds to the x-coordinate of the x-intercept, and the positive slope of 2 indicates an increase in the positive y-direction. So, as the graph moves from the second quadrant to the first quadrant, it increases in the positive y-direction.

Therefore, based on the characteristics of the function and the description in option (c), it is the correct representation of the graph.