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Does anybody know the questions for the 05.04 Exponential and Logarithmic Functions Discussion-Based Assessment (FLVS)? Thank you!

Sagot :

The functions are illustrations of function transformations

The transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up

How to determine the transformations

The equation of the function is given as:

[tex]g(x) = 2 - x[/tex]

The parent function of the above equation is:

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

First, the function f(x) is reflected across the y-axis to give

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

Next, the function is shifted 2 units up.

So, we have:

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

Rewrite as:

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

Express f(-x) + 2 as g(x).

So, we have:

[tex]g(x) = 2-x[/tex]

Hence, the transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up

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