Answer:
![y=x^2+6x+7](https://tex.z-dn.net/?f=y%3Dx%5E2%2B6x%2B7)
Step-by-step explanation:
To write the quadratic in standard form, begin by writing it in vertex form
![y = a(x-h)^2+k](https://tex.z-dn.net/?f=y%20%3D%20a%28x-h%29%5E2%2Bk)
Where (h,k) is the vertex of the parabola.
Here the vertex is (-3,-2). Substitute and write:
![y=a(x--3)^2+-2\\y=a(x+3)^2-2](https://tex.z-dn.net/?f=y%3Da%28x--3%29%5E2%2B-2%5C%5Cy%3Da%28x%2B3%29%5E2-2)
To find a, substitute one point (x,y) from the parabola into the equation and solve for a. Plug in (0,7) a y-intercept of the parabola.
![7=a((0)+3)^2-2\\7=a(3)^2-2\\7=9a-2\\9=9a\\1=a](https://tex.z-dn.net/?f=7%3Da%28%280%29%2B3%29%5E2-2%5C%5C7%3Da%283%29%5E2-2%5C%5C7%3D9a-2%5C%5C9%3D9a%5C%5C1%3Da)
The vertex form of the equation is
.
To write in standard form, convert vertex form through the distributive property.
![y=(x+3)^2-2\\y=(x^2+6x+9)-2\\y=x^2+6x+7](https://tex.z-dn.net/?f=y%3D%28x%2B3%29%5E2-2%5C%5Cy%3D%28x%5E2%2B6x%2B9%29-2%5C%5Cy%3Dx%5E2%2B6x%2B7)
(3x5)X2=5x(2x3)
15x2=5x6
30=30
yyou can do 61 ÷6 and that answer you get will equal 61
100 days because 40 divide by 4 = 10 10 x 10 =100
Answer:
x=23
m<1=161
m<2=19
Step-by-step explanation:
7x+x-4=180
8x+4=180
8x=184
x=23
m<1: 7(23) = 161
m<2: (23-4) = 19