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Please Help! Will give Brainliest for the correct answer. Given the function f(x) = x2 and k = -3, which of the following represents a vertical shift? (An explanation would be very helpful.)

1) f(x) + k

2) f(x + k)

3) f(kx)

4) kf(x)

Respuesta :

Eureka1Fa

Answer:

1) f(x) + k

Step-by-step explanation:

1) that would result in a vertical shift  as the -3, would put parabola down 3

2) that would result in horizontal shift

3) That would change the original function

4) "kf" is not a function

Answer:

1) [tex]f(x)+k[/tex]

Step-by-step explanation:

Givens

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

[tex]k=-3[/tex]

A vertical shift of this function is represeted by the first choice: [tex]f(x)+k[/tex].

Remember, when add or subtract units to the whole function, or the dependent variable (vertical axis), we are actually shifting the function vertically. So, the first option is adding units to the dependent variable because [tex]f(x)=y[/tex].

Therefore, the right answer is 1) [tex]f(x)+k[/tex]

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