Question

The graphs below have the same shape. What is the equation of the blue graph?

Answer 1

Answer:

C. G(x) = (x - 1)² - 3

Step-by-step explanation:

f(x) + n - shift the graph of f(x) n units up

f(x) - n - shift the graph of f(x) n units down

f(x - n) - shift the graph of f(x) n units to the right

f(x + n) - shift the graph of f(x) n units to the left

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Look at the picture.

The graph of F(x) shifted 1 unit to the right and 3 units down.

Therefore the equation of the function G(x) is

$G(x)=(x-1)^2-3$