Answer:
(-2,-1)
Step-by-step explanation:
On the graph, the vertex is where the bottom of the U is. In general, it's always that same place on the U, but the U could be turned upside down or left or right. Looking at the bottom of the U, count on the x axis first (left 2, which is negative). That's your first number. Then count on the y axis (down 1, again, negative). That's your second number. Hope this helps!
Help ASAP ! A. Coconut meat is used in the preparation of a variety of dishes. B. Coconut trees are the tallest trees in the South Pacific region. C. Coconuts grow in coastal regions and can float in water. D. Coconut has a hard shell and is neither a nut nor a fruit o
Answer: The value of a is 1. The value of b is -1. The value of c is 1. The value of the discriminant is -3. The quadratic function will not intersects the x-axis.
Explanation:
The standard form of a quadratic equation is,
![p(x)=ax^2+bx+c](https://tex.z-dn.net/?f=p%28x%29%3Dax%5E2%2Bbx%2Bc)
The given function is,
![p(x)=x(x-1)+1](https://tex.z-dn.net/?f=p%28x%29%3Dx%28x-1%29%2B1)
It can be written as,
![p(x)=x^2-x+1](https://tex.z-dn.net/?f=p%28x%29%3Dx%5E2-x%2B1)
By comparing this equation with the standard form of quadratic equation. we get,
![a=1](https://tex.z-dn.net/?f=a%3D1)
![b=-1](https://tex.z-dn.net/?f=b%3D-1)
![c=1](https://tex.z-dn.net/?f=c%3D1)
The formula for discriminant is,
![D=b^2-4ac](https://tex.z-dn.net/?f=D%3Db%5E2-4ac)
![D=(-1)^2-4(1)(1)](https://tex.z-dn.net/?f=D%3D%28-1%29%5E2-4%281%29%281%29)
![D=1-4](https://tex.z-dn.net/?f=D%3D1-4)
![D=-3](https://tex.z-dn.net/?f=D%3D-3)
The value of the discriminant is -3.
If D<0, it means the function have no real roots.
If D=0, it means function have one real roots.
If D>0, it means function have two real roots.
Since D<0 it means the function have no real roots. So the function will not intersect the x-axis at any point.