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The parent function f(x)=3sqrt(x-1) is transformed to g(x)=3sqrt(-x-1)Which graph correctly shows the functions f(x) and g(x)?

User Simonberry
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2 Answers

4 votes

Answer: It should be B on plato

Explanation:

I graphed it

User Arghbleargh
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3 votes

The graph is shown in the attached image


We know that:

Reflection across the y-axis gives us:

(x,y) ..................> (-x , y)


From the graph, we can note that each point on the f (x) function has a negative image on the g (x) function


For example:

point (2,3) in f (x) is (-2,3) in the g (x)


Therefore, we can deduce that g (x) is formed by reflecting f (x) across the y-axis


Hope this helps :)

The parent function f(x)=3sqrt(x-1) is transformed to g(x)=3sqrt(-x-1)Which graph-example-1
User Loxley
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