Let's determine if multiplying the parent linear function by -1 results in a results in a reflection in the x-axis.
A reflection over the x-axis means the line is reflected over the horizontal axis.
When a linear function is multiplied by -1, the line will be reflected over the x-axis.
Take the function as an example:
y = 5x + 1
Here, we have the point:
(x, y) ==> (1, 6)
When the function is multiplied by -1, we have:
y = -5x - 1
Here, we now have the point:
(x, y) ==> (1, -6)
By applying the reflection rule for a reflection over the x-axis:
(x, y) ==> (x, -y)
We can say that multiplying the parent function by -1 results in a reflection in the x-axis.
ANSWER:
True