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Function ggg can be thought of as a translated (shifted) version of f(x)=x^2f(x)=x

2

f, left parenthesis, x, right parenthesis, equals, x, squared.

A parabola labeled f has a vertex at the point 0, 0. A parabola labeled g has a vertex at the point 0, negative 3.













Write the equation for g(x)g(x)g, left parenthesis, x, right parenthesis.

g(x)=g(x)=g, left parenthesis, x, right parenthesis, equals

Respuesta :

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Answer:

g(x) = x²-3

Step-by-step explanation:

f(x)= x²

when x=0, f(x)= 0 hence it has vertex at (0,0)

Since g(x) is shifter version of f(x) and has vertex at (0,-3),

g(x) must be shifted along y axis

so

g(x)= x²+c

when x=0, g(x)= -3

-3=0+c

c=-3

g(x)= x² -3

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Answer:

g(x)=[(x−2)^2] +6

Step-by-step explanation: