Question

What is the equation, in standard form, of a parabola that models the values in the table?

Answer 1

Use y = ax^2 + bx + c for your equation. You will write out that formula 3 times, each time substituting a y and x from the table. (-2, 0) for the first equation, (0, -6) for the second, and (4, 78) for the third. You will then have three equations in 3 unknowns (a, b, and c). This will be a solvable system and just solve for the a, b, and c.

Answer 2

I did that but the answers threw me off:
y = 6x2 + 5x – 4
y = –4x2 – 5x + 6
y = 5x2 + 4x – 6
y = 4x2 + 5x – 6
It's multiple choice so...

Answer 3

*the 2's next to the x should be ^2

Answer 4

You stated the multiple choices. Now you need to show some of your work. Just type it in and I can check it out.

Answer 5

I redid the work, it's c right? (I'm new to this so I kinda suck at it)

Answer 6

Start by using the first equation. Once you substitute the point I identified for you, what does the first equation in a, b, and c look like? We tutors can't give out answers. We can help, point to formulas, organize your thinking, check your work, etc. But without seeing your work, I can't confirm or negate it. This site is intended for the students to show a good amount of the work. Without it, we can't help you. There is a lot of conceptual work already done here for you by me. You just have to plug and chug now.

Answer 7

Alright thanks for reminding me of the equation n all I figured out I got my points mixed up, my end result was y = 4x2 + 5x – 6 :)

Answer 8

You got it!