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Jan 5, 2024 · To calculate the axis of symmetry for a 2nd order polynomial in the form ax 2 + bx +c (a parabola), use the basic formula x = -b / 2a. [3] In the example above, a = 2 b = 3, and c = -1. Insert these values into your formula, and you will get: x = -3 / 2 (2) = -3/4. 3. Write down the equation of the axis of symmetry.
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Learn how to find the axis of symmetry of a parabola from its equation or from its graph. Use formulas, interactive applet, examples and practice problems to master this concept.
Learn how to find the axis of symmetry of a shape or a parabola using formula, definition, and examples. The axis of symmetry is an imaginary line that divides a shape into two identical parts and creates a mirror image of each part. The formula for the axis of symmetry of a parabola is x = -b/2a or y = h, where h is the vertex of the parabola.
Learn how to find the vertex and the axis of symmetry of a parabola by completing the square and using a formula. See examples, graphs, and explanations of upward- and downward-opening parabolas.
- 7 min
- Sal Khan,Monterey Institute for Technology and Education
- I get that the parabola will open upward when a>0 and downward when a<0, but what if a=0?Good question. It is not a parabola anymore if a = 0. It is just a horizonal line because when you multiply the x by zero it is eliminated and your...
- I got lost at 1:54 because idk where the -4 comes from. then we all of a sudden get to y= -2((x-2)^2...x was divisible by -2 as well as the rest of the numbers on that side of the equal sign. So, the -4 is the result of dividing the 8 on the right en...
- I don't get why the formula Sal talks about at 6:40 (`-b/2a`) works. What's the technical proof.Look by using the completing the square method we essentially turn the equation into vertex form which I suppose you know. Then the result seems as...
- how would u get 16 as the maximum point by using the simple and fast formulae?I asked myself the same question, as Sal seems to have more than a little contempt for the "mindless application" method ;p 'Sokay! I do understand...
- At 3:36, Sal said (x-2)^2 is "always positive" but I think it could be zero too. So shouldn't it be ...Yes, it should be "always non-negative".
- I don't understand why he suddenly said x-2=0Well, let's look at 4:22. y = -2(x-2)² + 16 So, how does this tell us where the vertex is? Well, the vertex will be at the point where y is a minim...
- At about 2:25, Sal adds and subtracts four to the equation. Wouldn't he have to add 8 because the 4 ...You're right, maybe you did it the way I did. However, he did the problem differently, since he factored the 8 out, it changed how he had to solve...
Aug 3, 2023 · The vertex form of a quadratic equation is y = a (x – h) 2 + k, Equation of axis of symmetry is, x = h, here (h, k) = vertex of the parabola. We obtain the vertex of the function (x, y) by substituting the value of x in the standard form of the equation and get the value of y. Let us solve some examples involving the above formulas and concepts.
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Learn how to find the axis of symmetry of a parabola using the formula x = − b 2 a , where a, b and c are the coefficients of the quadratic function. See examples and practice problems with solutions.
Key Concepts. A parabola is the set of all points (x, y) in a plane that are the same distance from a fixed line, called the directrix, and a fixed point (the focus) not on the directrix. The standard form of a parabola with vertex (0, 0) and the x -axis as its axis of symmetry can be used to graph the parabola.
