Question

When the slope m is multiplied by -1 in f(x)=mx+b.What type of transformation is used.

Answer 1

Answer: It is equivalent to a reflection over the y-axis.

Step-by-step explanation:

We start with the function:

f(x) = m*x + b

where the slope is m.

If we only multiply the slope by -1, the function becomes:

f(x) = -m*x + b

There is a transformation called a reflection over the y-axis.

This works as follows, if we have a function f(x), a reflection over the y-axis is written as:

g(x) = f(-x)

If we apply this to our function, we get:

g(x) = f(-x) = m*(-x) + b

g(x) = -m*x + b

Then we can conclude that:

"When the slope m is multiplied by -1 in f(x)=mx+b, it is equivalent to a reflection over the y-axis"