We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=1/4x²−x+3
where
a=1/4
b=-1
c=3
the coordinates of the focus are
(-b/2a,(1-D)/4a)
where D is the discriminant b²-4ac
D=(-1)²-4*(1/4)*3-----> D=1-3---> D=-2
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> 2
y coordinate of the focus
(1-D)/4a------> (1+2)/(4/4)---> 3
the coordinates of the focus are (2,3)
Answer:
-8
Step-by-step explanation:
f(x)=3x-5
f(-1)=3(-1)-5=-3-5=-8
Formula for area:
Area = Wide x Length
Wide: x + 5
Long: 3x - 2
Area = (x + 5) x (3x - 2)
Area = 3x² - 2x + 15x - 10
Area = (3x² + 13x - 10) square feet
