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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

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SOLUTION:

Case: Equation of a graph

Method:

Let the equation be:


y=x^2

Transformation 1:

Translate 2 units up


y=x^2+2

Transformation 2:

Vertical dilation by a factor of 3


y=(1)/(3)x^2+2

Transformation 3:


y=(1)/(3)(x-2)^2+2

Final answer:


y=(1)/(3)(x-2)^2+2

User Derekantrican
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