Answer :
Answer:
To find the equation of the new function after applying the given transformations to the quadratic parent function f(x) = x^2 , we need to apply each transformation step-by-step. Let's start with the original function and apply each transformation in sequence.
1. Shift 1 unit right: To shift the function ( f(x) = x^2 ) to the right by 1 unit, we replace ( x ) with ( (x - 1) ). This gives us:
f(x) = (x - 1)^2
2. Vertically stretch by a factor of 5: To vertically stretch the function by a factor of 5, we multiply the entire function by 5. This results in:
f(x) = 5(x - 1)^2
3.Reflect over the x-axis: To reflect the function over the x-axis, we multiply the entire function by -1. This gives us:
f(x) = -5(x - 1)^2
So, after applying all the given transformations, the equation of the new function is:
f(x) = -5(x - 1)^2
