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The graph of the parent function f(x) = x is translated to form the graph of g(x) = (x + 5)3 - 6. The point (0,0) on the graph

of f(x) corresponds to which point on the graph of g(x)?
O (5, -6)
(-5, -6)
(5,6)
(-5,6)

User Franka
by
7.8k points

1 Answer

4 votes

Answer:

(-5, -6)

Explanation:

The correct question is

The graph of the parent function f(x)=x^3 is translated to from the graph of g(x)=(x+5)^3-6. The point (0,0) on the graph of f(x) corresponds to which point on the graph of g(x)?

see the attached figure to better understand the problem

we have that


f(x)=x^(3)


g(x)=(x+5)^3-6

we know that

The turning point in the parent function f(x) is (0,0)

The turning point in the function g(x) is (-5,-6)

so

The translation has the following rule

(0,0) -----> (-5,-6)

(x,y) ----> (x-5,y-6)

The translation is 5 units at left and 6 units down

therefore

The point (0,0) on the graph of f(x) corresponds to (-5,-6) on the graph of g(x)

The graph of the parent function f(x) = x is translated to form the graph of g(x) = (x-example-1
User Chris Dolan
by
8.4k points

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