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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

the answer For which pair of functions is the vertex of kx 7 unitsbelow the vertex of f xO A Ax and Kx x 72O B Ax and Kx CC Ax and Kx x72O D AX and Kx 17 7 class=

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Solution

Given the parent function f(x) below

[tex]f(x)=x^2[/tex]

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

[tex]k(x)=x^2-7[/tex]

Hence, the pair of functions are

[tex]f(x)=x^2\text{ and k(x)}=x^2-7[/tex]

Hence, the answer is option B

Ver imagen JazaleA514194
Ver imagen JazaleA514194

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