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The graph of the parent function f(x) = x2 is dashed and the graph of the transformed function g(x) = x2 + k is solid.

Use the slider to change the value of k.

Positive values of k shift the graph .
up down left right?
Negative values of k shift the graph .
up dwn left right?

Respuesta :

Use the slider to change the value of k.

Positive values of k shift the graph ✔ up.

Negative values of k shift the graph ✔ down

MrRoyal

Transformation involves changing the position of a function.

The true statements are:

  • Positive values of k shift the graph up
  • Negative values of k shift the graph down

The functions are given as:

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

[tex]\mathbf{g(x) = x^2 + k}[/tex]

The equation of g(x) implies that, f(x) is translated or shifted vertically.

The possible values of k are:

  • k is greater than 0 i.e. positive
  • k is less than 0 i.e. negative

When k is positive, then the graph of the function shifts up

If otherwise (i.e. k is negative), then the graph of function shifts down

Read more about function transformation at:

https://brainly.com/question/13810353

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