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Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.

two parabolas open up with f of x passing through negative 3 comma negative 3 and g of x passing through negative 3 comma 3

k = 9
k = 6
k = 3
k = −3

Respuesta :

kudzordzifrancis

Answer:

k=6

Step-by-step explanation:

The parabola that opens up and passes through (-3,-3) will have equation,

[tex]f(x) = {x}^{2} - 12[/tex]

The parabola the opens up a d passes through (-3,3) will have equation:

[tex]g(x) = {x}^{2} - 6[/tex]

We want to determine the value of k, for which,

[tex]g(x) = f(x) + k[/tex]

We rewrite g(x) in terms of f(x) to get:

[tex] {x}^{2} - 6 = {x}^{2} - 12 + 6[/tex]

[tex]g(x) \to({x}^{2} - 6 )= f(x) \to ({x}^{2} - 12 )+k \to6[/tex]

Therefore;

[tex]g(x) = f(x) + 6[/tex]

Hence k=6

cedrickfortun750

Answer:

It's B.

Step-by-step explanation:

When two equations are the same, but in different section of the graph; like this one, count the columns until you get to the other curve. And that's the "K" for the equation.

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