Question

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 to the right.

It is the graph of y = 3x stretched vertically 3 units upward.
It is the graph of y = 3x translated 2 units to the left.
It is the graph of y = 3x translated 6 units upward.
It is the graph of y = 3x compressed horizontally 6 units to the left.
It is the graph of y = 3x translated 6 units downward.
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Answer 1

It is the graph of y = 3x translated 6 units upward.

Step-by-step explanation

The general equation for a straight line is y = mx + c where m and c are gradient and y-intercept respectively.

The graph of y = 3x is a straight line with a positive gradient of 3. It passes the origin.

The graph y = 3x + 6 is a straight line with the same gradient of positive 3. But this graph passes through the point (0,6). That is it cats the y-axis at 6.

So, the graph of y = 3x translated 6 units upward.