JulyssaD271506 JulyssaD271506
  • 28-10-2022
  • Mathematics
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use the transformations of the graph of f(x)=x^2 to determine the graph of the given function.

use the transformations of the graph of fxx2 to determine the graph of the given function class=

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JanasiaB291301 JanasiaB291301
  • 28-10-2022

Given:

[tex]h(x)=-(x-4)^2[/tex]

Let's use the transformations of the graph f(x) = x² to determine the function.

We have the transformation:

[tex]f(x)=x^2\Longrightarrow g(x)=-(x-4)^2[/tex]

Simplify the transformed function:

[tex]g(x)=-(x-4)^2[/tex]

Here, the following transformation occured:

• A horizontal translation right 4 units

,

• A reflection over the x-axis

Therefore, the graph of the function is below:

Ver imagen JanasiaB291301
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