Question

Graph the following equations in 4 different colors

F(x)=2x
F(x)=2x+6
F(x)=2x-3
F(x)=2x-5

Answer 1

The given equations are linear functions and represent straight lines.

The first equation F(x) = 2x , represent a straight line passing through the origin.

Now, we plot the rest equation using the transformation of the graph.

• If we add a constant 'a' in the function then it gets shifted upward by 'a' units.

• If we subtract a constant 'a' in the function then it gets shifted downward by 'a' units.

Using these properties, the second graph gets shifted upward by 6 units. Hence, it passes through (0,6)

Third graph will shift downward by 3 units. Hence, it passes through the point (0,-3)

Fourth graph will shift downward by 5 units. Hence, it passes through the point (0,-5)

The graph of these functions are shown in the same xy-plane in the attached file.