Answer:
Hence the corresponding equation of the given problem will be:
y'=|x-5|-1
Step-by-step explanation:
Let y' denote the corresponding equation after the translation of the given function y
We are given a equation of a function as: y=|x|.
Now we have to write an equation such that there is a translation 1 unit down and 5 units right of y=|x|.
We know that for any function f(x) the translation 'a' units down is given by:
f(x)-a
And the translation 'b' units right of a function g(x) is given by:
g(x-b)
Hence the corresponding equation of the given problem will be:
y'=|x-5|-1
<span> line passes through the points (p, a) and (p, –a)
where p and a are real numbers and p ≠ 0
(p, a) and (p, –a) m = Cannot divide by ZERO, there is no slope to this Line.
slope of the line: no slope (does not exist)
equation of the line: x = p Perpendicular Line
</span><span>slope of a line perpendicular to the given line: would be m = 0, horizontal Line y= 3
</span>y- intercept: none