If y = ( x-1)^2, then y 3/4 =
y^3/4 = (x-1)^(2 * 3/4) = (x-1)^(3/2)
To find the value of y when y is multiplied by 3/4, we can substitute the expression for y in terms of x into the equation.
Given: y = (x-1)^2
We substitute y = (x-1)^2 into the equation:
3/4 * y = 3/4 * (x-1)^2
Now, let's simplify the equation:
3/4 * (x-1)^2 = 3/4 * (x^2 - 2x + 1)
Next, we can distribute 3/4 to each term inside the parentheses:
3/4 * (x^2 - 2x + 1) = (3/4)*x^2 - (3/4)*2x + (3/4)*1
Simplifying further, we get:
= (3/4)*x^2 - (3/2)*x + 3/4
Therefore, y 3/4 = (3/4)*x^2 - (3/2)*x + 3/4.