identify the parameters a,k,d and c in the polynomial function f(x) = 3[-0.5(x-9)]^4+7 describe how each parameter transforms the parent function. what is the parent function? write the mapping rule.
The parent function is f(x) = x^4.
The parameters in the given function are:
a = 3: This parameter stretches the function vertically by a factor of 3. This means that the function will be three times taller than the parent function.
k = -0.5: This parameter reflects the function over the y-axis. It causes the function to be reflected horizontally.
d = 9: This parameter shifts the function 9 units to the right. This means that the function will be centered at x = 9.
c = 7: This parameter shifts the function 7 units upwards. This means that the function will be shifted higher on the y-axis.
Mapping rule:
f(x) = 3[-0.5(x-9)]^4 + 7
The mapping rule shows how each parameter transforms the parent function.