Let y=square root of 1-x Give an equation for: (a) stretched horizontally by a factor 2. (b) compressed horizontally by a factor 2.

Question

if i want to stretch it horizontally by 2 i divide only the x by 2 or all the inner part like (1-x)/2 and for compression the same like i should multiply x only or all of it

Answer 1

EDIT: I mixed up x and y---fixed.

consider the simplest equation: y = x. For a horizontal stretch of 2X, you could write:

y = x/2

OR

2y = x

Suppose then an offset a is applied to x. You could then write 2y = x - a, which would be equivalent to:

y = (x - a)/2

As long as you are able to put the equation in the form y - b = f(x - a), then a horizontal stretch is always done by multiplying the left side---or dividing the right side--by the scale factor.

Answer 2

only the x; otherwise you are stretching the y by a factor of sqrt(2)