Question

the answer For which pair of functions is the vertex of k(x) 7 unitsbelow the vertex of f x)?O A. A(x) = * and K(x) = (x+ 7)2O B. A(x) = * and K(x) = * -CC. A(x) = * and K(x) = (x-7)2O D. AX) = * and K(x) = 17 + 7

Answer 1

Given the parent function f(x) below

`f(x)=x^2`

The graph of f(x) is shown below

The function k(x) is 7 units below the parent function as shown below

The vertex of k(x) is 7 units below the vertex of f(x) as shown by the two graphs above

The graph of f(x) is shifted downwards by 7 units to give the graph of k(x) whose function is

`k(x)=x^2-7`

Hence, the pair of functions are

`f(x)=x^2\text{ and k(x)}=x^2-7`

Hence, the answer is option B