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Determining the Equation of a Function from a Graph
What is the equation of the translated function?

Determining The Equation Of A Function From A Graph What Is The Equation Of The Translated Function class=

Sagot :

Answer: Given the graph of the function f(x) which is described by a parabola with the vertex at (0, 0) and the graph of the translated function g(x) which is described by a parabola with the vertex at (5, 2).

Notice, that the vertex of the translated function is 5 units to the right and 2 units up of the graph of f(x).

Thus, g(x) is obtained by translating the function f(x) 5 units to the right and 2 units up.

Recall that given a function described by a parabola with vertex at (h, k) as

A translation of a units to the right and b units up will result in

Therefore, the equation of the translated function, g(x) is given by

Step-by-step explanation:

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