Question

Which functions have a maximum and are transformed to the left and down of the parent function, f(x)=x2? Check

Answer 1

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 brainly.com/question/4521517

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