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