Given the function f (x) = - 2x2 + 4x - 7, find f (-4).

-55

-7

25

f (-4) = - 55

Step-by-step explanation:

We want to find f (x), or y, when x is equal to - 4.

Therefore, we can substitute - 4 in for x in the function.

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

Substitute - 4 in for x

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

Evaluate the exponent

f (-4) = -2 (16) + 4 (-4) - 7

Multiply - 2 and 16

f (-4) = - 32+4 (-4) - 7

Multiply 4 and - 4

f (-4) = -32-16-7

Subtract

f (-4) = -55

-2 (-4) 2+4 (-4) - 7

16-16-7

-7. - 7 is correct