Answer:
-2(x^2+15)
Step-by-step explanation:
f(x) = −2(x − 4)^2 + 2.
Expanding (x-4)^2
(x-4)(x+4)
x(x+4)-4(x+4)
x^2+4x-4x-16
x^2-16
F(x) = -2(x^2-16)+2
-2x^2-32+2
-2x^2-30
-2(x^2+15)
3.14*d
3.14*12= 37.68
Rounded to the nearest hundredth would be 37.7

At the respective max and min values
Answer:
a=-26,b=-10,c=-1,d=-2
Step-by-step explanation:
when x=-3
y=-(-3)^2 +4(-3)-5=a
a=-9-12-5
=-14-12
=-26
when x=-1
y=-(-1)^2 +4(-1)-5=b
=-1-4-5
b=-10
when x=2
y=-(2)^2 +4(2)-5=c
=-4+8-5
=-9+8
c=-1
when x=3
y=-(3)^2 +4(3)-5=d
=-9+12-5
=-14+12
d=-2