hannahhmaree14 hannahhmaree14
  • 17-06-2019
  • Mathematics
contestada

What is the change that occurs to the parent function f(x) = x2 given the function f(x) = x2 + 7.

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 17-06-2019

ANSWER

shifts up 7 units.

EXPLANATION

The given function is

[tex]f(x) = {x}^{2} [/tex]

This is the base of the quadratic function without any transformation.

It is also refer to as the parent function.

The transformed function has equation:

[tex]f(x) = {x}^{2} + 7[/tex]

This transformation is of the form

[tex]y = f(x) + k[/tex]

This transformation shifts the graph of the base function up by k units.

Since k=7, the base function is shifted up by 7 units.

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