Question

Compare the graphs of y = 2x and y = 6x.

Choices are: Pick One.

-The graph of y = 6x. increases at a faster rate than the graph of y = 2x.

-The graph of y = 2x increases at a faster rate than the graph of y = 6x.

-The graph of y = 6x is the graph of y = 2x translated 4 units up.

-The graph of y = 6x is the graph of y = 2x translated 3 units up.

Answer 1

The graph of y = 6x increases at a faster rate than the graph of y = 2x.

Explanation:

y=6x and y=2x are proportional relationships of linear functions. It has the form y=mx where m is the rate of change or increase. 6>2 so y=6x will increase faster than 2.

We know the last two statements are not possible because a translation of a graph must be done through addition or subtraction.