Answer:
2(x+1)²-3
Step-by-step explanation:
Using the vertex formula we can write the follwoing equation
y=a(x+1)²-3
We need to solve for a
we know that when x= 2 y = 15
So we can write
15=a(2+1)²-3
15=9a-3
18=9a
a=2
Which means our final equation is
2(x+1)²-3
in standard form (just in case)
2x²+4x-1
I believe it's 7.5 but I could be wrong.
Answer:
B) 5.5
Step-by-step explanation:
Answer:
y= (-1/2)x+(5/2)
Step-by-step explanation:
equation point slope
(y-y1)=m(x-x1)
y-3 = -1/2(x+1) add -3 to both sides and distribute
y=( -x/2) +(-1/2)+3 rewrite 3 as 6/2
y=(-1/2)x +(-1+6/2) solve
y= (-1/2)x+(5/2)
Answer:
p = -2 ±sqrt( 5)
Step-by-step explanation:
p^2 + 4p = 1
Take the coefficient of p
4
Divide by 2
4/2 =2
Square it
2^2 = 4
Add it to each side
p^2 + 4p+4 = 1+4
(p+2) ^2 = 5
Take the square root of each side
sqrt((p+2) ^2) =±sqrt( 5)
p+2 = ±sqrt( 5)
Subtract 2 from each side
p+2-2 = -2 ±sqrt( 5)
p = -2 ±sqrt( 5)
