Compare the graphs of y = x and y = 2x. how are they related? a. the graph of y = 2x represents a transformation of the parent function, y = x, which makes the graph twice as steep. b. the graph of y = 2x represents a transformation of the parent function, y = x, which makes the graph half as steep. c. the graph of y = x represents a transformation of the parent function, y = 2x, which makes the graph half as steep. d. the graph of y = x represents a transformation of the parent function, y = 2x, which makes the graph twice as steep.

The correct option is a.

Step-by-step explanation:

The given functions are

                  .... (1)

               ..... (2)

Both are linear functions and the parent function of linear functions is

If a line has large slope then it is more steeper.

The slope intercept form of a function is

where, m is slope and b is y-intercept.

Using slope intercept form we can say that the slope of first line is 1 and the slope of second line is 2.

Since the slope of second line is larger and twice of the slope of first line, therefore the graph is twice steeper as y=x.

Hence the correct option is a.

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step-by-step explanation:

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x