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Give an equation for the graph of y=f(x) if we apply these transformations translate up 2 units vertical dilation by a factor of 3 translate right 2 units

Respuesta :

SOLUTION:

Case: Equation of a graph

Method:

Let the equation be:

[tex]y=x^2[/tex]

Transformation 1:

Translate 2 units up

[tex]y=x^2+2[/tex]

Transformation 2:

Vertical dilation by a factor of 3

[tex]y=\frac{1}{3}x^2+2[/tex]

Transformation 3:

[tex]y=\frac{1}{3}(x-2)^2+2[/tex]

Final answer:

[tex]y=\frac{1}{3}(x-2)^2+2[/tex]

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