Final answer:
The value of the function h(x) when x is -4 is calculated by substituting -4 into the function, which simplifies to h(-4) = -27 - 4k.
Step-by-step explanation:
The student's question involves finding the value of the function h(x) = -2x² + kx + 5 when x is substituted with -4. To solve for h(-4), replace x with -4 in the function:
h(-4) = -2(-4)² + k(-4) + 5
First, calculate (-4)²:
(-4)² = 16
Multiply 16 by -2:
-2 * 16 = -32
Next, calculate k multiplied by -4:
k(-4) = -4k
Now, add all terms together:
h(-4) = -32 - 4k + 5
Simplify:
h(-4) = -27 - 4k
The value of h(-4) is -27 minus 4 times k.