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Norma-Jean [14]
3 years ago
9

given the f(x)=x2 write the equation function g(x) whose graph is a translation 5 units left and 3 units down

Mathematics
1 answer:
Leno4ka [110]3 years ago
7 0

When a function is translated, it means the function is moved away from its original position.

<em>The function g(x) is: </em>g(x) = (x  + 5)^2 - 3<em />

Give that:

f(x) = x^2

The rule of translation 5 units left is:

(x,y) \to (x + 5, y)

So, we have:

f'(x) = (x + 5)^2

The rule of translation 3 units down is:

(x,y) \to (x, y-5)

So, we have:

g(x) = (x  + 5)^2 - 3

Hence, the function g(x) is: g(x) = (x  + 5)^2 - 3

Read more about translations at:

brainly.com/question/12463306

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