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Question 4 of 21
The graphs below have the same shape. The equation of the blue graph is f(x)
= 2. Which of these is the equation of the red graph, g(x)?
g(x) = ?
V
f(x)=x²
O A g(x)=x²-5
OB. g(x)=(x-5)²
O C. g(x)=x+5
OD. g(x) = (x+ 5)²

Question 4 of 21 The graphs below have the same shape The equation of the blue graph is fx 2 Which of these is the equation of the red graph gx gx V fxx O A gxx class=

Respuesta :

reinhard10158

Answer:

C

Step-by-step explanation:

since g(x) has the exact same form of f(x), it is then clear that g(x) is just a "lifted" version of f(x).

we move a graph up by simply adding a constant to each and every result value of the original function.

this constant we can see at the vertex of the parabola.

the vertex of f(x) is (0, 0).

the vertex of g(x) is (0, 5).

so, g(x) is f(x) moved up by 5 units.

therefore, C, g(x) = f(x) + 5 = x² + 5 is the right answer.

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