The missing value for is
Explanation:
It is given that the equation for the table is
The table has 2 column with 5 rows.
Thus, we have,
x y
-2 10
-1 ---
0 2
1 -2
2 -6
We need to determine the value of y when
The value of y can be determined by substituting in the equation
Thus, we have,
Multiplying the term within the bracket, we have,
Adding the terms, we have,
Thus, the value of y when is 6.
Hence, the missing value for is
Answer:
The vertex of the parabola is the maximum value, i.e.,(-1,0). The function is increasing x<-1. the function is decreasing x>-1. the domain of the function is all real numbers. the range of the function is all real numbers less than or equal to 0.
Step-by-step explanation:
The given function is
....(1)
The general vertex form of the parabola is
.....(2)
Where, (h,k) is vertex and a is stretch factor.
On comparing (1) and (2), we get
The vertex of the parabola is (-1,0). Since a=-1<1 so it is a downward parabola.
The axis of symmetry is x=-1. So, before -1 the function is increasing and after -1 the function is decreasing.
The vertex of a downward parabola is the point of maxima. So, the rang of the function can not exceed 0.
Therefore the vertex of the parabola is the maximum value, i.e.,(-1,0). The function is increasing x<-1. the function is decreasing x>-1. the domain of the function is all real numbers. the range of the function is all real numbers less than or equal to 0.