Question

The vertex -x^2 - 2x + 8

Answer 1

General form of a quadratic equation:
`ax^2+bx+c`

⇒ since the equation:
`-x^2-2x+8`

⇒ so:

• a = -1
• b = -2
• c = 8

To calculate the x-coordinate of the vertex

⇒use x =
`-(b)/(2a)` <--- this is a property that helps you find the vertex of the

quadratic

x =
`-((-2))/(2*(-1)) =-1`

Since x = -1:

⇒ we can plug in this x-value into the original equation to find the y-

value

`y =-(-1)^2-2(-1)+8=-1+2+8=9`

So the coordinate of the vertex: (-1,9)

Hope that helps!