Question

Write the equation of the function that has a graph the shape of y=/x/ ,reflected about the x-axis and shifted down 1 unit.

Answer 1

Do you mean y = |x| the absolute value of x?

For the shifting down by one unit, subtract 1. For the reflection about the x axis, change the sign.

Thus y = -|x| -1

y is never greater than -1, and decreases with slope +/-1 on either side of x=0

Answer 2

Thank You