damianlevine12
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The graphs below have the same shape. What is the equation of the blue graph? A. g(x) = (x-4)2 - 2 B. g(x) = (x + 4)2 + 2 C. g(x) = (x - 4)2 + 2 D. g(x) = (x + 4)2 - 2​

The graphs below have the same shape What is the equation of the blue graph A gx x42 2 B gx x 42 2 C gx x 42 2 D gx x 42 2 class=

Respuesta :

ccwolf095

Answer:

The answer is D. g(x) = (x+4)^2 - 2

Step-by-step explanation:

This is because f(x) = (x-h)^2 + k

where h = horizontal translations and k = vertical translations

facundo3141592

The equation of the blue graph is:

g(x) = (x + 4)^2 - 2

What is the equation of the blue graph?

If both graphs have the same shape, then the blue graph is a translation of the red graph.

The red graph is:

f(x) = x^2

And the vertex is at (0, 0).

While the vertex of the blue graph is at (-4, -2), so we have a translation of 4 units to the left and 2 units downwards, then we can write g(x) as:

g(x) = f(x + 4) - 2

Replacing f(x) by the actual function we get:

g(x) = (x + 4)^2 - 2.

If you want to learn more about translations:

https://brainly.com/question/24850937

#SPJ2

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