The given function is:

$f(x) = -2x - 4 + 5$

This simplifies to:

$f(x) = -2x + 1$

Now, we need to find $f\left(\frac{28}{3}\right)$. Substituting $x = \frac{28}{3}$ into the equation:

$f\left(\frac{28}{3}\right) = -2 \times \frac{28}{3} + 1$

Simplify the expression:

$f\left(\frac{28}{3}\right) = -\frac{56}{3} + 1$

Convert 1 to a fraction with the same denominator:

$1 = \frac{3}{3}$

Now, combine the terms:

$f\left(\frac{28}{3}\right) = -\frac{56}{3} + \frac{3}{3} = -\frac{53}{3}$

Thus,

$f\left(\frac{28}{3}\right) = -\frac{53}{3}$

Would you like further details or clarification on this?

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Here are 5 questions related to this:

1. What is the process to substitute values into a function?
2. How do we simplify a function with fractional inputs?
3. How would the result change if the function were $f(x) = -2x + 4$?
4. Can you express the result $-\frac{53}{3}$ as a mixed number?
5. How does the function's slope affect the value of $f(x)$ when $x$ changes?

Tip: Always remember to simplify constants and like terms when solving a function for specific values.