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he graph below is a transformation of f(x)=2^x . Write an equation describing the transformation.exponential with f(x) approaching 1 as x grows to negative infinity. As x gets infinity larger f(x) gets infinity smallerThe coefficient on our transformed function is AnswerThe exponent on our transformed function is AnswerThe constant we are adding to our function f(x)=2^x is Answer

He Graph Below Is A Transformation Of Fx2x Write An Equation Describing The Transformationexponential With Fx Approaching 1 As X Grows To Negative Infinity As X class=

Sagot :

Original function:

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

The transformed function has a reflection over the x-axis and a shift downward, as in our function, the y-intercept (when we set the x to 0 in the equation) is at (0,1).

Then, to make a reflection about the x-axis we have to add a minus sign:

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

Finally, to get the y-intercept at (0, -3), we have to subtract two to our function:

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

Proving that it is correct:

[tex]f(0)=-2^0-2=-1-2=-3[/tex]

Answer:

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

• Coefficient: -2

,

• Exponent: ,x

,

• Constant: -2

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