What is the vertex form of the equation?

Vertex Form Of Equation The vertex form of a parabola’s equation is generally expressed as: y = a(x-h)2+k. (h,k) is the vertex as you can see in the picture below. If a is positive then the parabola opens upwards like a regular “U”. If a is negative, then the graph opens downwards like an upside down “U”.

What is the definition of vertex form of a quadratic equation?

The vertex form of a quadratic function is y=a(x−h)2+k where: |a| is the vertical stretch factor. If a is negative, there is a vertical reflection and the parabola will open downwards. k is the vertical translation. h is the horizontal translation.

What is vertex form example?

The vertex form of a quadratic function is f(x) = a(x – h)2 + k, where a, h, and k are constants.

How do you write an equation in vertex form given two points?

  1. Vertex form of a quadratic equation is y=a(x-h)2+k, where (h,k) is the vertex of the parabola.
  2. The vertex of a parabola is the point at the top or bottom of the parabola.
  3. ‘h’ is -6, the first coordinate in the vertex.
  4. ‘k’ is -4, the second coordinate in the vertex.
  5. ‘x’ is -2, the first coordinate in the other point.

How do you write a parabola in vertex form?

How to find a parabola’s equation using its Vertex Form

  1. Step 1: use the (known) coordinates of the vertex, (h,k), to write the parabola’s equation in the form: y=a(x−h)2+k.
  2. Step 2: find the value of the coefficient a by substituting the coordinates of point P into the equation written in step 1 and solving for a.

What do the H and K stand for in vertex form?

(h, k) is the vertex of the parabola, and x = h is the axis of symmetry. • the h represents a horizontal shift (how far left, or right, the graph has shifted from x = 0). • the k represents a vertical shift (how far up, or down, the graph has shifted from y = 0).