Write an equation for then translation of y = IXI
what kind of translation?
To shift the graph up k and right h, you need
y-k = f(x-h)
So, to shift f(x) = |x| up 2 and right 3, you have
y-2 = |x-3|
or,
y = |x-3|+2
h and k may be negative, for shifting down and left.
2 units down sorry
Y= |x+2|
To write an equation for the translation of the function y = |x|, we need to determine the direction and distance of the translation. Assuming you're referring to a horizontal translation (shifting left or right), the equation will be of the form y = |x - h|, where "h" represents the horizontal shift.
If the function y = |x| is translated to the right by "a" units, the equation becomes y = |x - a|. On the other hand, if the function is translated to the left by "a" units, the equation becomes y = |x + a|.
So, to write an equation for the translation of y = |x|, we need to know the direction and distance of the translation.