What is the value of a if y=a(x-3)^2-1

The value of the equation for "a" in terms of x and y is (y+1)/(x-3)²

Step-by-step explanation:

The equation is a classic example of a binomial equation in 2 variables and one constant.

Given- y=a(x-3)²-1

Transferring 1 to the left-hand side

y+1=a(x-3)²

We can opt for various method from now on like we can divide both the sides by (x-3)² or we can possibly transfer (x-3)² to the left-hand side to get the value of "a" in terms of "x" and "y"

∴ Opting for the first method, we get

(y+1)/(x-3)²=a

Thus the required value of "a" in terms of the variable "x" and "y" is as follows-

a= (y+1)/(x-3)²

20

step-by-step explanation: