Question

The _____ function is the most basic function in a family of functions.

Answer 1

Answer:

Parent function

Step-by-step explanation:

Parent function is a function simplest in form, of a family of functions that preserves the definition of the entire family.

We can say for example

y =sinx the parent function for all the functions given below

y = sinx +2  (Vertical shift of parent funciton by 2 units up)

y = 3 sinx  (Shrink vertically by scale factor of 3)

y = 3 sin (x+1) (Horizontal shift of parent funciton by 1 unit to the right)

Thus we have the parent function is the simples function and the family of functions are got by some transformations of parent functions.

Answer 2

Answer:

Parent function

Step-by-step explanation: