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The black graph is the graph of y = f(x).Choose the equation for the red graph.A. y - 5 = f(7)==1B. } = f(x + 5)C. = f(x - 5)-D. y + 5 = f(G)=

The black graph is the graph of y fxChoose the equation for the red graphA y 5 f71B fx 5C fx 5D y 5 fG class=

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SOLUTION

The red graph is a translation of the black graph.

The translation is horizontal shift 5 units to the left, which is

[tex]f(x)\rightarrow f(x+5)[/tex]

The reflection over the x-axis, which is

[tex]\frac{y}{-1}[/tex]

Hence the answer is

[tex]\frac{y}{-1}=f(x+5)[/tex]

Option B