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

what is the equation for g(x)?

g(x)=

If the function is translated, the translated version of f(x) can be:

(shifted b units to the left)

(shifted b units to the right)

(shifted b units upwards)

(shifted b units downwards)

The given function is:

Translation can be done vertically and horizontally

For horizontal translation:

If the function f(x) is shifted b units to the left, the resulting function becomes:

If the function f(x) is shifted b units to the right, the resulting function becomes:

For vertical translation:

If the function f(x) is shifted b units upwards, the resulting function becomes:

If the function f(x) is shifted b units downwards, the resulting function becomes:

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Step-by-step explanation:

f(x)=x^2  represents a parabola with vertex at (0, 0), that opens up.

If we translate this graph h units to the right, then g(x) will be:

g(x) = (x - h)^2.

If we translate the graph of  f(x)=x^2 k units up, then g(x) will be:

f(x)=x^2 + k

Next time, please indicate whether you are shifting the original graph to the right or to the left, and/or up or down.

step-by-step explanation: