Answer: 18
Step-by-step explanation:To find the value of p(-3), we need to substitute -3 for x in the given expression for p(x).
Starting with the given expression p(x) = 4(x + 5)^2 + 2, we can substitute -3 for x:
p(-3) = 4((-3) + 5)^2 + 2
First, let's simplify the expression inside the parentheses:
((-3) + 5) = 2
Now we can substitute this value into the expression:
p(-3) = 4(2)^2 + 2
Next, let's calculate the square of 2:
(2)^2 = 4
Now we can substitute this value into the expression:
p(-3) = 4(4) + 2
Next, let's calculate 4 times 4:
4 * 4 = 16
Now we can substitute this value into the expression:
p(-3) = 16 + 2
Finally, let's add 16 and 2:
16 + 2 = 18
Therefore, the value of p(-3) is 18.