PLEASE HELP
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 1

A. k = −3
B. k = 1
C. k = 4
D. k = 5

PLEASE HELP Given a graph for the transformation of fx in the format gx fx k determine the k value two parabolas open up with f of x passing through negative 3 class=

Respuesta :

Look up to their vertexes

  • f(x) has vertex at (-3,-3)
  • g(x) has vertex at (-3,1)

So

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

[tex]\\ \rm\rightarrowtail g(-3)=f(-3)+k[/tex]

[tex]\\ \rm\rightarrowtail 1=-3+k[/tex]

[tex]\\ \rm\rightarrowtail k=1+3[/tex]

[tex]\\ \rm\rightarrowtail k=4[/tex]