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The graph f(x)=x^2 was transformed to create the graph g(x)=−(3x)^2


Which statement describes this transformation?



a reflection over the x-axis and a vertical compression


a reflection over the y-axis and a vertical compression


a reflection over the x-axis and a horizontal compression


a reflection over the y-axis and a horizontal compression

Respuesta :

semsee45

Answer:

a reflection over the x-axis and a horizontal compression

Step-by-step explanation:

[tex]f(x)=x^2[/tex]

[tex]g(x)=-(3x)^2[/tex]

Therefore, g(x) = -f(3x)

Transformation:

reflection over the x-axis

horizontal compression