SahasraB535753 SahasraB535753
  • 03-11-2022
  • Mathematics
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Create a quadratic function that is vertically stretched by a factor of 6 and is translated up 5 units.

Create a quadratic function that is vertically stretched by a factor of 6 and is translated up 5 units class=

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SayedG86574 SayedG86574
  • 03-11-2022

Given

A factor of 6

Translated up 5 units

Find

Quadratic equation

Explanation

Let

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

Now, streched this function by a factor of 6

[tex]f(x)=6x^2[/tex]

Now, translated up 5 units

[tex]f(x)=6x^2+5[/tex]

Hence, the quadratic equation is

[tex]f(x)=6x^2+5[/tex]

Final Answer

[tex]f(x)=6x^2+5[/tex]
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