Question

Help me with my test

Answer 1

Answer:

B. -8

Step-by-step explanation:

first find k: plug 3 and -2 into the function

$3=2(-2)^2-5(-2)+k\\3=2(4)+10+k\\3=18+k\\k=-15$

then plug -1 into $2x^2-5x-15$

$2(-1)^2-5(-1)-15\\= 2(1)+5-15\\=7-15\\=-8$

h(-1) = -8

Answer 2

$- 8.$

Step-by-step explanation:

$h(x) = 2 {x}^{2} - 5x + k$

If h(-2) = 3.

Then, h(-1) =

$h( - 1) = 2 {( - 1)}^{2} - 5( - 1) + k$

$h( - 1) = 2 + 5 + k$

$h( - 1) = 7 + k$

$- 1 - 7 = k$

$- 8 = k$