find a function f is given by f(-4) = 4x^2-3+7

To find the function f, we are given that f(-4) equals a certain expression. Let's plug in the value of x = -4 into the given expression, which is 4x^2 - 3 + 7:

f(-4) = 4(-4)^2 - 3 + 7

Now, let's simplify this expression using the order of operations or the BEDMAS rule:

f(-4) = 4(16) - 3 + 7
f(-4) = 64 - 3 + 7
f(-4) = 61 + 7
f(-4) = 68

So, the value of f(-4) is 68. However, this only gives us one value of the function at x = -4. We need more information to determine the entire function.