Are Functions 1 and 2 the same? Explain. Function 1: y = 3(x + 5) Function 2: y equals three times x, plus 5.

Mathematics

1 answer:

Molodets [167]3 years ago

7 0

Answer:

No, the functions are not the same.

Step-by-step explanation:

For function one you have to distribute the three to the x and the five which would give you a function of 3x+15.

This will result in different y-intercepts function one's why being 15 and function's two y-intercept being 5. Though the will have the same slope they are two different functions.

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Explanation:

Check out the diagram below. An example point in the third quadrant is (-2,-5). This quadrant is the southwest quadrant. Reflect the example point over the x axis (aka the line y = 0) and we get (-2,5). This is shown when we go from point A to point B in the diagram.

The reflection rule is $(x,y) \to (x,-y)$ showing that only the y coordinate changes from y to -y. If y is negative, then flip to positive, or vice versa. The x coordinate stays the same.