anonymous
  • anonymous
what is the equation, in standard form, of a parabola that contains the following points. (-2,18),(0,2),(4,42) A y=-2x^2-2x-3 B y=-3x^2+2x-2 C y=3x^2-2x+2 D y=-2x^2+3x+2
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
i tried plugging x in but i keep getting wrong numbers
Directrix
  • Directrix
You may have to start with the general equation of a parabola: y = ax^2 + bx + c Substitute the three points:(-2,18),(0,2),(4,42) into the equation and solve for a, b and c.
whpalmer4
  • whpalmer4
Start out with the point \((0,2)\) which will give you the value of \(c\) with no work. \[y = ax^2+bx+c\]\[2 = a(0)^2+b(0)+c\]\[2=c\] Now for the subsequent points you can use \[y = ax^2 + bx + 2\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
can i just get a answer im tired of working on this equation
whpalmer4
  • whpalmer4
Yes, you can get an answer. Plug \((-2,18)\) into that formula, what do you get?
anonymous
  • anonymous
i think its c but i keep getting random numbers
whpalmer4
  • whpalmer4
Well, let's say you've worked the problem and you think the answer is C, but you aren't sure. How do you check it? You plug in each of the points and see if they make true statements. \[y = 3x^2-2x+2\] point \((-2,18)\): \[18 = 3(-2)^2 -2(-2)+2\]\[18 = 3(-2)(-2)-2(-2)+2\]\[18=12+4+2\]\[18=18\checkmark\]So far, the answer is okay, but it must work for all of the points. point \((0,2)\): \[2=3(0)^2-2(0)+2\]\[2=0-0+2\]\[2=2\checkmark\] Also good. Now you just have one last point to check: point \((4,42)\): \[42=3(4)^2-2(4)+2\] I'll let you decide if that works or not.
whpalmer4
  • whpalmer4
If you keep getting wrong or random numbers, you should show us an example so we can help you get the right numbers. Telling you the answer to this problem won't really help you if you can't successfully do the problems.

Looking for something else?

Not the answer you are looking for? Search for more explanations.