Question

if f (x1 ,y1) =0 is the transformed equation of acurve when a origin is translated to the point (h,k) then the original equation of the curve​

Answer 1

Concept:

Graphical Transformation is the method of  moving and resizing the graph of a function.

Given:

f (x₁ ,y₁) =0 is the transformed equation of acurve when a origin is translated to the point (h,k)

Find:

Find the new equation of the curve

Solution:

f(x₁,y₁)=0

According to graph transformation,graph can be translated in x- axis, by subtracting or adding in x value of the function by a constant

Similarly, graph can be translated in y- axis, by subtracting or adding in y value of the function by a constant

To translate the point (h,k)

x₁=x₁-h , y₁=y₁-k

f(x₁-h,y₁-k)=0

Hence, the new equation after shifting the origin is, f(x₁-h,y₁-k)=0

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