There are 2 options to solve that.
1. The first one is by derivatives.
f(x)=x^2+12x+36
f'(x)=2x+12
then you solve that for f'(x)=0
0=2x+12
x=(-6)
you have x so for (-6) solve the first equation, then you find y
y=(-6)^2+12*(-6)+36=(-72)
so the vertex is (-6, -72)
2. The second option is to solve that by equations:
for x we have:
x=(-b)/2a
for that task we have
b=12
a=1
x=(-12)/2=(-6)
you have x so put x into the main equation
y=(-6)^2+12*(-6)+36=(-72)
and we have the same solution: vertex is (-6, -72)
For next task, I will use the second option:
y=x^2-6x
x=(-b)/2a
for that task we have
b=(-6)
a=1
x=(6)/2=3
you have x so put x into the main equation
y=3^2+(-6)*3=(--9)
and we have the same solution: vertex is (3, -9)
The answer is B) Two times the sum of a number and two. That would be completely different that twice a number plus two.
Hope this helps!
Answer:
i).272
ii. (2x-1) (3y+2)
b). 14,400 seconds
Step-by-step explanation:
in pic
(Hope this helps can I pls have brainlist (crown)☺️)
Answer:
R(-4,-8) and T(-8,8)
Step-by-step explanation:
- Dilation multiplies or divides. Since it is .5 dilation, the pre-image has greater points.
- This multiplying each end point by 2 gives us our pre-image values.
Answer:
100,000,000,009,099,998,878,374
Step-by-step explanation:
