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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=

Sagot :

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]