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Writing an equation for a function after a vertical and horizontal translation please help

Writing an equation for a function after a vertical and horizontal translation please-example-1

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6 votes

Answer:


g(x)=-√(x+4)+3

Explanation:

The function for the graph in blue is given as:


f(x)=-√(x)

• A point on f(x) is (0,0).

,

• A corresponding point on g(x), the red graph = (-4, 3)

This means that:

(1) f(x) has been translated by 4 units to the left which gives:


-√(x+4)

(2) f(x) has been translated by 3 units up.


-√(x+4)+3

Thus, the expression for g(x) is:


g(x)=-√(x+4)+3

User Reza Sh
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