Search results
People also ask
How to find vertex math?
What does vertex mean in math?
How do you find the vertex of a standard form?
The vertex formula helps to find the vertex coordinates of a parabola. The standard form of a parabola is y = ax 2 + bx + c. The vertex form of the parabola y = a (x - h) 2 + k. There are two ways in which we can determine the vertex (h, k). They are: (h, k) = (-b/2a, -D/4a), where D (discriminant) = b 2 - 4ac.
So applying the arithmetic average formula (a+b)/2 where a is -b+sqrt(bsquared-4ac)/2a and b is -b-sqrt(bsquared-4ac)/a gives -b/2a as solution for x coordinate of vertex. This formula also works if the parabola has only one root.
- 6 min
- Sal Khan,Monterey Institute for Technology and Education
- why is it that to find a vertex you must do -b/2a? is there a separate video on it?A parabola is defined as 𝑦 = 𝑎𝑥² + 𝑏𝑥 + 𝑐 for 𝑎 ≠ 0 By factoring out 𝑎 and completing the square, we get 𝑦 = 𝑎(𝑥² + (𝑏 ∕ 𝑎)𝑥) + 𝑐 =...
- In which video do they teach about formula -b/2aThis is not a derivation or proof of -b/2a, but he shows another way to get the vertex: https://www.khanacademy.org/math/algebra/quadratics/feature...
- Is there a video about vertex form?Not specifically, from the looks of things. When Sal gets into talking about graphing quadratic equations he talks about how to calculate the verte...
- Why does x+4 have to = 0?Because then you will have a y coordinate for a given x. When x-4 = 0 (i.e. when x =4) you are left with just y=21 in the equation: because 4-4=0 0...
- At 3:38 how does Sal get x=4? Wouldn't the expression -3(x-4)^2 have to equal - 21 for the whole equ...You want that term to be equal to zero and to do that x has to equal 4 because (4-4)^2 is equal to zero.
- Can someone explain why the x-vertex formula is -b/2a?We know we can find the x-intercepts of the parabola by using the quadratic formula. 1st x-intercept: x = [-b + sqrt(b^2-4ac)]/(2a) 2nd x-intercept...
- Why is x vertex equal to -b/2a ?This is not a derivation or proof of " -b/2a", but he shows another way to get the vertex: https://www.khanacademy.org/math/algebra/quadratics/feat...
- How can we find the domain and range after compeleting the square form?The Domain of a function is the group of all the x values allowed when calculating the expression. In this exercise all x values can be used so the...
For standard form: y=Ax^2+Bx+C. Look at the coefficient of the x^2 term. If "A" is positive, the parabola opens up. If "A" is negative, then the parabola opens down. For Vertex Form: y=a (x-h)^2+k. The sign of "a" determines the direction of the parabola. If "a" is positive, the parabola opens up.
- 6 min
- How do you know if it is a downward or an upward facing parabola?I use a tactic that I found online - If its positive, it looks like a smile! if negative, it looks like a frown! Its actually quite handy if you as...
- How do you find the "a" value when there is no visible number in front of the parentheses? Ex. f(x)=...It is 1, because in math, everything is already inherently being multiplied by 1. There *is* a coefficient, it is one.
- How do you get from `"Quadratic Standard Form"` to `"Vertex Form"`? Is there a certain method or mus...Hello! The "method" I was taught, was really just doing the algebra as follows: Finding the vertex of the quadratic by using the equation x=-b/2a,...
- At 0:30, Sal says in future he will explain how to get from Quadratic Standard Form to Vertex Form. ...https://www.khanacademy.org/math/algebra/quadratics/quad-standard-form-alg1/v/ex3-completing-the-square
- How do you know if an equation is a downward opening or upward opening? The constant term?You can tell from the quadratic term, the value of A in `y = Ax^2 + Bx + C` or `y = A(x - H)^2 + K`. If A is positive, the graph expands upward (we...
- Would it be correct to call a parabola positive or negative, and why is this so?I think it would, because it would indicate how the parabola is graphed.
- When we look at a quadratic equation, how can we tell if the parabola is positive or negative?For standard form: y=Ax^2+Bx+C Look at the coefficient of the x^2 term. If "A" is positive, the parabola opens up. If "A" is negative, then the par...
- How do you find vertex form from the graph of the quadratic function?1) Make the function look like ax^2 + bx + c = 0. 2) Use the vertex formula to find it. x = -b / 2a 3) Use the x value to find the y value. Hope th...
- How do you do quadratic functions?you can use the quadratic equation or by completing the square to solve it, but you need to be more specific of what type of help you need
Course: Algebra 1. Math > Algebra 1 > Quadratic functions & equations > Features & forms of quadratic functions. Vertex & axis of symmetry of a parabola. Google Classroom. About. Transcript. Sal rewrites a quadratic equation in vertex form and shows how it reveals the vertex of the corresponding parabola.
- 7 min
- Sal Khan,Monterey Institute for Technology and Education
What Is Vertex Form? While the standard quadratic form is a x 2 + b x + c = y, the vertex form of a quadratic equation is y = a ( x − h) 2 + k. In both forms, y is the y -coordinate, x is the x -coordinate, and a is the constant that tells you whether the parabola is facing up ( + a) or down ( − a ).
Sep 22, 2022 · What Is the Vertex Formula? The vertex formula helps solve the coordinates of the vertex ( h, k) of the parabola by giving an indicated formula for h and k. The standard equation form of the parabola is given by. y = a x 2 + b x + c.
