The graph of the function y = 3x + 2 is added as an attachment
Sketching the graph of the function
From the question, we have the following parameters that can be used in our computation:
y = 3x + 2
The above function is a linear function that has been transformed as follows
- Vertically stretched by a factor of 3
- Shifted up by 2 units
Completing the table of values, we have
y = 3(-1) + 2 = -1
y = 3(1) + 2 = 5
y = 3(0) + 2 = 2
y = 3(2) + 2 = 8
y = 3(-2) + 2 = -4
So, the table of values is
x y = 3x + 2 y
y 3(-1) + 2 -1
y 3(1) + 2 5
y 3(0) + 2 2
y 3(2) + 2 8
y 3(-2) + 2 -4
Next, we plot the graph using a graphing tool by taking note of the above points
The graph of the function is added as an attachment