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The graph is showing which of the following functions?

(1 point)
Responses

y = 2x
y = 2x

y = x−2
y = x−2

y = x+2
y = x+2

y = −2x
y = −2x

1 answer

To determine which function the graph is showing, we need to consider the characteristics of each function listed:

  1. y = 2x: This is a straight line that passes through the origin (0,0) with a positive slope of 2. It rises steeply.

  2. y = x - 2: This is a straight line that also passes through the origin (0, -2) with a slope of 1. It rises at a 45-degree angle.

  3. y = x + 2: This is another straight line that intersects the y-axis at (0, 2) also with a slope of 1. It rises in a similar way to the second function but starts higher on the y-axis.

  4. y = -2x: This is a straight line with a negative slope of -2, passing through the origin (0, 0). It declines steeply.

To identify the correct function, you would need to look at the slope and the y-intercept (where the line crosses the y-axis). If you provide a description of the graph (the slope and the points it passes through), I could help you better identify which function matches.