In the function g(x) = -x² + 7 the transformation is a vertical reflection and vertical translation.
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The parent function is:
f(x) = x²
g(x) = -x² + 7
The above function is the transformed function and the transformation is a vertical reflection and vertical translation.
Similarly,
h(x) = (x - 6)² = horizontal translation only
p(x) = (x - 2)² - 9 = vertical translation and horizontal translation.
p(x) = x² + 1/2 = vertical translation only
Thus, in the function g(x) = -x² + 7 the transformation is a vertical reflection and vertical translation.
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