The given function is:

$f(x) = x^2 + 2x - 3$

To determine $f(1 - a)$, we will substitute $1 - a$ for $x$ in the function expression:

$f(1 - a) = (1 - a)^2 + 2(1 - a) - 3$

Now, let's expand the expression:

1. Expanding $(1 - a)^2$: $(1 - a)^2 = 1 - 2a + a^2$

2. Expanding $2(1 - a)$: $2(1 - a) = 2 - 2a$

Now, substitute these into the original expression:

$f(1 - a) = (1 - 2a + a^2) + (2 - 2a) - 3$

Simplify the expression:

$f(1 - a) = a^2 - 4a + 1 + 2 - 3$ $f(1 - a) = a^2 - 4a + 0$

Thus, the result is:

$f(1 - a) = a^2 - 4a$

Do you need further clarification on this? Would you like to explore more related topics?

1. What are the steps to find the value of a function for a given input?
2. How do we simplify a quadratic expression after substitution?
3. How can we find the value of $f(x)$ for other specific values of $x$?
4. What other methods can be used to expand binomials like $(1 - a)^2$?
5. How does this result relate to graphing quadratic functions?

Tip: When substituting values into functions, always make sure to expand and simplify step by step to avoid missing terms.