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Sagot :
Using translation concepts, the functions that have a maximum and are transformed to the left and down of the parent function are given by:
- g(x) = -5(x + 10)² - 1
- t(x) = -2x² - 4x - 3
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
For the translations, we have that:
- Shift left, hence x -> x + a, a > 0.
- Shift down, hence y -> y - a, a > 0.
- Having a maximum means that the leading coefficient is negative.
The functions that respect these conditions are:
- g(x) = -5(x + 10)² - 1
- t(x) = -2x² - 4x - 3 = -2(x² + 2x) - 3 = -2(x + 1)² - 1
More can be learned about translation concepts at https://brainly.com/question/4521517
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