In order to transform
[tex]f(x)=x^2\mapsto g(x)=(x+80)^2[/tex]
You have to apply the transformation
[tex]g(x)=f(x+80)[/tex]
These kind of transformation, i.e.
[tex]f(x)\mapsto f(x+k)[/tex]
result in a horizontal translation, k units to the left if k is positive, k units to the right if k is negative.
In this case, k=80, so the graph of
[tex]g(x)=(x+80)^2[/tex]
Will be the same of
[tex]f(x)=x^2[/tex]
except for a translation of 80 units to the left.
If this function is transformed to give (x+80)². The transformation used is a horizontal shift of the function to the left by 80 units
Transformation is a way of changing the position of a figure on a xy plane.
Given the parent function of a quadratic equation as:
f(x) = x²
If this function is transformed to give (x+80)². The transformation used is a horizontal shift of the function to the left by 80 units
Learn more on transformation here: https://brainly.com/question/4289712
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