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When graphing a linear equation that is written in the form y=mx+b, the variable m represents the y-intercept. Assuming that b>0, which of the following best describes how reversing the sign of b would affect the graph?

A) The new line will be shifted down b units
B) The new line will be shifted down b x 2 units
C) The new line will be a perfect reflection across the x-axis
D) The new line will be a perfect reflection across the y-axis

Respuesta :

anonymousperson124
B. A numeric example of this is with a y-intercept of 7. Changing it to -7 will cause a downwards shift of 14 units. This is because it takes 7 units to get down to 0, then another 7 to get to -7.
A downwards shift of b units will always result in a new value of 0, so this is obviously not true. Reflection has nothing to do with the y-intercept, or b value. So beyond the mathematical explanation provided above, you could solve this using the process of elimination.

B) The new line will be shifted down b x 2 units

How does the B affect the graph?

As we can see from the graphs, changing b affects the location of the vertex with respect to the y-axis. When b = 0, the vertex of the parabola lies on the y-axis. Changing b does not affect the shape of the parabola (as changing a did). Making b positive or negative only reflects the parabola across the y-axis.

What does B mean when graphing?

The number b is the coordinate on the y-axis where the graph crosses the y-axis.

To learn more about  the graph, refer

https://brainly.com/question/1321287

#SPJ2

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