SOLUTION: Hi, I have to find the vertex and axis of symmetry of the parabola y= -x^2+6x+3 I also have to find if it opens upward or downward. I have done this so far: a= -1 b=6 c=3 V

Question 52024: Hi, I have to find the vertex and axis of symmetry of the parabola
y= -x^2+6x+3
I also have to find if it opens upward or downward. I have done this so far:
a= -1 b=6 c=3
Vertex occurs when x= -b\2a = -6\2(-1) = 3
Then y=f(3)= -1(3)^2+6(3)+3
=12
Vertex (3,12).
It is downward because a<0
I am not sure on the axis of symmetry and how to work it out.
greatly appreciated if you could please help

Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
You had two small errors that were just typos, since your result came out right. The axis of symmetry is the vertical line x= 3, and the graph is like this:

R^2 at SCC
RELATED QUESTIONS
y=x^2+1 I need to find whether the graph opens up, or opens down, find the vertex, and... (answered by MathTherapy)

I have to find the vertex, focus, which way it opens, the directrix, axis of symmetry,... (answered by richwmiller)

I need to know the vertex, axis of symmetry, roots, domain, and the range of the... (answered by MathLover1)

I need to know the vertex, axis of symmetry, roots, domain and the range of the following (answered by Fombitz)

Find the vertex of the parabola, the direction it opens, and the axis of symmetry.... (answered by lwsshak3)

Please help. I have to find the coordinates of the vertex of parabola y = -2 (x +... (answered by lwsshak3)

Graph y=x^2-1 (label the vertex and the axis of symmetry) and tell whether the parabola... (answered by lwsshak3)

i need your help... can you graph this equation? y=-(x-4)^2+3 *state weather the graph... (answered by stanbon,Gogonati)

Tell weather the parabola opens up or down and find the coordinates of the vertex and the (answered by lwsshak3)