SOLUTION: I am having a hard time gettting all of the parts of this problem. Can you please help? Graph the parabola. Identify the vertex, axis, intercepts, domain and range. f(x)=-x

Question 381581: I am having a hard time gettting all of the parts of this problem. Can you please help?
Graph the parabola. Identify the vertex, axis, intercepts, domain and range.
f(x)=-xsquared+4x-1
I got the vertex: (2,3) but can't figure out how to get the intercepts.
Thank you! :)
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

(,) is correct for the vertex.
The vertex lies on the axis of symmetry, .
.
.
.
To find the x-intercepts, now set .

Those are the x-intercepts.
.
.
.
To find the y-intercepts, set solve for .

(,)
.
.
.
There are no restrictions on the domain.
Since the parabola opens downwards, the value at the vertex is a maximum.
Domain:(,)
Range:(,]
.
.
.

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