Part 1: Identify key features and graph a parabola from standard form. Answer the following questions to determine the key features of the parabola based on the equation shown, and then graph it.
12(x + 3) = (y – 2)^2
a) What is the axis of symmetry of the parabola? Explain how to determine this from the equation. (1
point)
b) What is the vertex of the parabola?
c) What is the focus of the parabola?
d) What is the directrix of the parabola?
e) Sketch a graph of the parabola and label the vertex, focus, directrix, and axis of symmetry.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

i believe that the answer is

b. y-1=-2(x-4)

hope this !

the radius is 2 times the diameter.

step-by-step explanation: