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Select ALL the correct answers. Oliver transforms the graph of y = 3x into the graph of y = 3x + 6. Which statements correctly describe this transformation?

It is the graph of y = 3x translated 6 units downward.
It is the graph of y = 3x translated 2 units to the left.
It is the graph of y = 3x compressed horizontally 6 units to the left.
It is the graph of y = 3x stretched vertically 3 units upward.
It is the graph of y = 3x translated 6 units to the right.
It is the graph of y = 3x translated 6 units upward.

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luisejr77

Answer: Last option.

Step-by-step explanation:

The equation of the line in Slope-intercerpt form is:

[tex]y=mx+b[/tex]

Where "m" is the slope of the line and "b" is the intersection of the line with the y-axis.

For the graph of the line [tex]y=3x[/tex], you can identify that:

[tex]m=3\\b=0[/tex]

 And for [tex]y=3x+6[/tex], you can identify that:

[tex]m=3\\b=6[/tex]

Therefore, you can observe that the slope does not change, but now the line [tex]y=3x+6[/tex] cuts the y-axis at [tex]y=6[/tex]. In other words, it was moved from [tex]y=0[/tex] to  [tex]y=6[/tex] (6 units on the y-axis)

Then, is the graph of  [tex]y=3x[/tex] translated 6 units upward.

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