Question

Complete the table.

f(p) = 2p2 − 4p
p f(p)
0
1
2
3

Answer 1

To complete the table for the function \( f(p) = 2p^2 - 4p \), we just need to substitute the values of \( p \) into the function and calculate \( f(p) \).

1. For \( p = 0 \):
\[
f(0) = 2(0)^2 - 4(0) = 0
\]

2. For \( p = 1 \):
\[
f(1) = 2(1)^2 - 4(1) = 2 - 4 = -2
\]

3. For \( p = 2 \):
\[
f(2) = 2(2)^2 - 4(2) = 8 - 8 = 0
\]

4. For \( p = 3 \):
\[
f(3) = 2(3)^2 - 4(3) = 18 - 12 = 6
\]

Now, we can fill in the table:

\[
\begin{array}{|c|c|}
\hline
p & f(p) \\
\hline
0 & 0 \\
1 & -2 \\
2 & 0 \\
3 & 6 \\
\hline
\end{array}
\]