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If fyou vertically stretch the exponential function f(x) = 2^x by a factor of 5, whatis the equation of the new function?O A. f(x) = 7^xB. f(x) = 5(2^x)C. f(x) = 2(5x)O D. f(x) = 10^x

If Fyou Vertically Stretch The Exponential Function Fx 2x By A Factor Of 5 Whatis The Equation Of The New FunctionO A Fx 7xB Fx 52xC Fx 25xO D Fx 10x class=

Answer :

[tex]\begin{gathered} B)f(x)=5(2^x) \\ \end{gathered}[/tex]

Explanation

a stretch or compression occurs when we multiply the parent function for a constant, if the constant si greater than 1, it is a stretch

so

Step 1

to find the new function, multiply the original function by the constant

Let

constant= 5

function

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

so

[tex]\begin{gathered} \text{new function} \\ f(x)=5(2^x) \end{gathered}[/tex]

so, the answer is B

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