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<h2>Answer with explanation:</h2>
The given function :
Using completing the squares, we have
[∵
]
(1)
Comparing (1) to the standard vertex form , the vertex of function is at (h,k)=(-1,-4)
For x-intercept, put f(x)=0 in (1), we get
Square root on both sides, we get
∴ x intercepts : x= (-3,0) and (1,0)
For y-intercept put x=0 in (1), we get
∴ y intercept : (0,-3)
Axis of symmetry :
In , a=1 and b=2
Axis of symmetry=