SOLUTION: Hello and thank you so much for your help.I got this function 7-6x-x^2=0 it's a parabola that crosses the x-axis on the points -7.0 and 1.0, the vertex it's at the point (-3.0,16).

Question 466574: Hello and thank you so much for your help.I got this function 7-6x-x^2=0 it's a parabola that crosses the x-axis on the points -7.0 and 1.0, the vertex it's at the point (-3.0,16). I need to find the equation of the axis of symmetry for this parabola. Thank you again and have a happy 4th of July.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Hello and thank you so much for your help.I got this function 7-6x-x^2=0 it's a parabola that crosses the x-axis on the points -7.0 and 1.0, the vertex it's at the point (-3.0,16). I need to find the equation of the axis of symmetry for this parabola. Thank you again and have a happy 4th of July.
.
You can derive the axis of symmetry from the vertex and "inspecting" the original equation.
First,
Determine whether it is a "vertical" or a "horizontal" parabola. If your equation has a x^2 term -- it is a "vertical" parabola.
Second,
Once you know this, then you can simply use the x-coordinate of the vertex. So, the axis of symmetry is then
x = -3 (vertical line crossing the x-axis at -3)
.
Note:
the axis of symmetry is also derived by:
-b/(2a)
where
'a' and 'b' are the coefficients of the original equation
RELATED QUESTIONS
Hello, I would greatly appreciate your help on these questions. We have seen a... (answered by Alan3354)

I really need help for two questions.I tried doing these myself but I kept getting the... (answered by ewatrrr)

Hello. Can I please get help with this problem? Give the focus, directix, and axis for... (answered by checkley77)

Hi, can you help me with my maths homework? I cant understand and its all about... (answered by josgarithmetic)

I have to find where the parabola crosses the x-axis and the y-axis for this equation:... (answered by Theo)

Solve for x: x^2 + 7x + 4 = 0. If the solutions are complex numbers, then give your... (answered by Edwin McCravy)

hello i have a question on the equation of an Ellipse i have the equation of... (answered by scott8148)

Hello, I do I solve this problem the problem is asking for me to find the vertex, the... (answered by stanbon)

I could use some help on this one. I really appreciate it! Let f(x) = 6x^2 - 24 / x^2... (answered by stanbon)