anonymous
  • anonymous
Compare and contrast the two quadratic equations below. In order to receive full credit, use complete sentences to describe the following: The direction each parabola opens The vertex of each parabola y = x^2 − 2x y = −2x^2 + 4x − 3
Mathematics
  • Stacey Warren - Expert brainly.com
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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.
katieb
  • katieb
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anonymous
  • anonymous
You can tell which way the parabola opens up by looking at the sign of it's first term. The first one opens up (because the x is positive) and the second one opens down (its x is negative). To find the vertex of each parabola use this formula: vertex=-b/2a,-b^2-4ac/4a
anonymous
  • anonymous
thank you!! lol i didnt get this at all but i kinda do now
anonymous
  • anonymous
Think of your equation having specific parts. y=−2x^2 + 4x − 3 The general form of this equation would be: y=ax^2+bx-c Each letter stands for a term. To find the vertex of this parabola, we just use the formula: -4/2(-2),-4^2-4(-2)(-3)/4(-2) -4/-4,16-24/-8 1,-8/-8 Vertex= 1,1

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anonymous
  • anonymous
vertex=-b/2a,-b^2-4ac/4a so a =-2 b=4 c=-3 and i just fill in that equation.
anonymous
  • anonymous
Yup. For the first parabola you don't have a C so you just fill in zero for C when you plug it into the formula.
anonymous
  • anonymous
is the / in the formula divide ??
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
\[Vertex= \frac{ -b }{ 2a },\frac{ -b^2-4ac }{ 2a }\]
anonymous
  • anonymous
^4a
anonymous
  • anonymous
ok now im confused is that 2 ways to find it or one big formula that u multiply to each othere??
anonymous
  • anonymous
It's the same formula. You use it to find the vertex of ONE parabola.
anonymous
  • anonymous
You find one first and then the other.
anonymous
  • anonymous
for the first one i got 1
anonymous
  • anonymous
so i got 1 in the first part and -3/2 for the second do i multiply them

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