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.

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mariahmendez mariahmendez · Answer 1 · 2018-03-23T16:46:18+01:00

The answer to this question is A.

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erinna erinna · Answer 2 · 2019-06-20T07:36:53+02:00

Answer:

The correct option is a.

Step-by-step explanation:

The given functions are

[tex]y=x[/tex] .... (1)

[tex]y=2x[/tex] ..... (2)

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

[tex]y=x[/tex]

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

The slope intercept form of a function is

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

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.