Have you noticed that there are at least 13 posts asking this question? (There are more, but these have answers.)
https://web2.0calc.com/questions/a-parabola-with-equation-y-ax-2-bx-c-has-a-vertical-line-of-symmetry-at-x-2-and-goes-through-the-two-points-1-1-and-4-1-the-quadratic-ax-2-bx
https://web2.0calc.com/questions/help-me-please_130
https://web2.0calc.com/questions/please-help_11649
https://web2.0calc.com/questions/help-plz_44287
https://web2.0calc.com/questions/need-help-by-the-end-of-today
https://web2.0calc.com/questions/help-plz_5023
https://web2.0calc.com/questions/urgently-need-help-within-two-days
https://web2.0calc.com/questions/quick-math-question_7
https://web2.0calc.com/questions/math_34788
https://web2.0calc.com/questions/math-help_2416
https://web2.0calc.com/questions/a-quadratic-of-the-form-2x-2-bx-c-has-roots-of-x
https://web2.0calc.com/questions/help_27016
https://web2.0calc.com/questions/algebra-2-parabolas-please-help
I know you're trying to help, but these people don't even search for existing answers. This shows how little effort they're putting into their math. :-(
As many other questions in this site, this is an AoPS question. AoPS students have a live class, where they learn from an instructor and the class is highly interactive. If you don't understand, then you can ask and there are people ready to help in real time. The online materials for the class are always available for the duration of the course.
Even if you can't make it to the class, you can see what happened later, as there's a transcript of each session. If you're working on your homework and have questions, AoPS also has a forum that is available 24/7. Lots of people are ready to help there. The website is well designed even for use with smartphones, so wherever you go, you get access to all of this. A student can receive hints on how to proceed. When they show some work, they get tailored replies depending on what's the part they're finding hard to understand.
Most students asking AoPS questions here are only looking for a cheap way out.
See this first
https://web2.0calc.com/questions/question_65419
then we need to modify it by multiplying by -2
(x^2 - 6x + 4 ) x (-2) = -2x^2 +12x - 8 Vertex will be at x = - b/2a = - 12 / (2*-2) = 3
The use this value of x to find the 'y' value by substituting into the equation y = .........
Attn: WoidSmiley69
It is time for you to start presenting your questions properly.
I would be interested in looking at this one if it was not presented so poorly.
Here Melody, I think that is what he meant:
"A quadratic of the form \(-2x^2+bx+c\) has roots of \(x=3+\sqrt{5}\) and \(x=3-\sqrt{5}\) .
The graph of \(y=-2x^2+bx+c\) a parabola. Find the vertex of this parabola."
Thanks guest,
Yes I know that is what he means but I have to rewrite the question properly before I can think it through.
I just cannot look at those dollar signs and ignore them, I have to physically remove them before I start on the problem.
I'm just not prepared to do that.
If they are too lazy to post their questions the best possible, then I expect they will be far too lazy to learn from any response.
Have you noticed that there are at least 13 posts asking this question? (There are more, but these have answers.)
https://web2.0calc.com/questions/a-parabola-with-equation-y-ax-2-bx-c-has-a-vertical-line-of-symmetry-at-x-2-and-goes-through-the-two-points-1-1-and-4-1-the-quadratic-ax-2-bx
https://web2.0calc.com/questions/help-me-please_130
https://web2.0calc.com/questions/please-help_11649
https://web2.0calc.com/questions/help-plz_44287
https://web2.0calc.com/questions/need-help-by-the-end-of-today
https://web2.0calc.com/questions/help-plz_5023
https://web2.0calc.com/questions/urgently-need-help-within-two-days
https://web2.0calc.com/questions/quick-math-question_7
https://web2.0calc.com/questions/math_34788
https://web2.0calc.com/questions/math-help_2416
https://web2.0calc.com/questions/a-quadratic-of-the-form-2x-2-bx-c-has-roots-of-x
https://web2.0calc.com/questions/help_27016
https://web2.0calc.com/questions/algebra-2-parabolas-please-help
I know you're trying to help, but these people don't even search for existing answers. This shows how little effort they're putting into their math. :-(
As many other questions in this site, this is an AoPS question. AoPS students have a live class, where they learn from an instructor and the class is highly interactive. If you don't understand, then you can ask and there are people ready to help in real time. The online materials for the class are always available for the duration of the course.
Even if you can't make it to the class, you can see what happened later, as there's a transcript of each session. If you're working on your homework and have questions, AoPS also has a forum that is available 24/7. Lots of people are ready to help there. The website is well designed even for use with smartphones, so wherever you go, you get access to all of this. A student can receive hints on how to proceed. When they show some work, they get tailored replies depending on what's the part they're finding hard to understand.
Most students asking AoPS questions here are only looking for a cheap way out.