Question

Find the function p(x) from the given expression:
p(x) = 3 - (½)(x - 1)²

Answer 1

The function p(x) is given by p(x) = -½x² + x + 2½.

Step-by-step explanation:

The given expression is p(x) = 3 - (½)(x - 1)².

To find the function p(x), we can start by simplifying the expression. Expanding the square, we get p(x) = 3 - ½(x² - 2x + 1). Simplifying further, we have p(x) = 3 - ½x² + x - ½. Combining like terms, the function p(x) can be written as p(x) = -½x² + x + 2½.