Question

For the function p defined by p(m) = 2m^2– 4m +3, find p(|– 3|)

Answer 1

Let's write out our function:

$p(m)=2m^2-4m+3$

We want to calculate the value of p at the absolute value of -3. Let us remember that the absolute value of any negative number is just the number without its negative sign; namely,

$|-3|=3$

This means that what we really need to calculate is p(3). Now,

$p(3)=2(3)^2-4(3)+3=2\cdot9-12+3=18-9=9$

Then,

$p(|-3|)=9$

The answer is A.