Respuesta :

Using translation concepts, the transformations are given as follows:

  • Reflection over the x-axis.
  • Vertical stretch by a factor of 2.
  • Shift left of 5 units.
  • Shift down by 3 units.

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.

The parent function is given by:

y = x².

The translated function is:

y = -2(x + 5)² - 3.

In this problem, we have that:

  • The function was multiplied by -2, hence it was reflected over the x-axis, as it was multiplied by a negative value, and vertically stretched by a factor of 2.
  • x -> x + 5, hence the function was shifted left 5 units.
  • y -> y - 3, hence the function was shifted down 3 units.

More can be learned about translation concepts at https://brainly.com/question/4521517

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