Question

if you apply the changes below to the quadratic parent function f(x)=x^2.which of these in the equation of the new function? shift 1 unit right ,vertically stretch by a factor of 3,reflects over x-axis

Answer 1

Transformed
`\,\,f(x)= -3\,(x-1)^2`

Explanation:

The process of shifting the graph of the function 1 unite to the right can be obtained by subtracting 1 to the x-coordinate in the expression of the function:

`f(x)=x^2\\new\,f(x) =(x-1)^2`

The process of stretching vertically the function, would be accomplished by multiplying now the full function by "3":

`new \,\,f(x)= 3\,(x-1)^2`

the reflection over the x-axis is obtained by multiplying the full function by the constant "-1":

`new \,\,f(x)= -3\,(x-1)^2`