please walk me through how to solve this.

Question

Answer 1

You just have to plug in "2 - a" wherever you see an "x" in 3x² - 6x + 20, That would look like this:

f(2 - a) = 3(2 - a)² - 6(2 - a) + 20 now multiply out the (2 - a)² to get 4 - 4a + a² then plug that back in to get:

f(2 - a) = 3(4 - 4a + a²) - 6(2 - a) + 20 now distribute the 3 and 6 to eliminate the parentheses to get:

f(2 - a) = 12 - 12a + 3a² - 12 + 6a + 20 now combine like terms and simplify to get:

f(2 - a) = -6a + 3a² + 20 now put into descending order to get:

f(2 - a) = 3a² - 6a + 20