Quadratic Formula to Vertex Form

How do you complete the square to convert a quadratic equation to vertex form?

• By dividing the constant term by 2 and adding the result to both sides of the equation, multiplying the coefficient of x by 2 and squaring the result, subtracting the squared result from both sides of the equation, factoring the left side as a perfect square trinomial, simplifying the right side, and writing the equation in vertex form as (x - h)^2 = k.

• By multiplying the constant term by 2 and adding the result to both sides of the equation, dividing the coefficient of x by 2 and squaring the result, subtracting the squared result from both sides of the equation, factoring the left side as a perfect square trinomial, simplifying the right side, and writing the equation in vertex form as (x - h)^2 = k.

• By moving the constant term to the left side of the equation, dividing the coefficient of x by 2 and squaring the result, subtracting the squared result from both sides of the equation, factoring the left side as a perfect square trinomial, simplifying the right side, and writing the equation in vertex form as (x + h)^2 = k.

• By moving the constant term to the right side of the equation, dividing the coefficient of x by 2 and squaring the result, adding the squared result to both sides of the equation, factoring the left side as a perfect square trinomial, simplifying the right side, and writing the equation in vertex form as (x - h)^2 = k.

Tags

CCSS.HSA-REI.B.4B

What is this formula?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

Tags

CCSS.HSA-REI.B.4B

What form is f(x)=(x-1)²-5

• Factored Form

• Vertex Form

• Standard Form

The formula x = -b/2a is used to find

• the roots

• the x-value of the vertex

• the y-intercept

• the axis of symmetry

The graph of a quadratic function is shown. The vertex and two points are labeled. Drag and drop the numbers and operations to write the equation for the parabola in vertex form. y = ​ (a)   (x​​ (b)   (c)   )² - (d)  

• -

• 1

• 6

• 12

• 4

• 8

• +

Write the equation of the quadratic in VERTEX FORM given a=2 and the vertex (-2, 5).

Mathematical Equivalence

ON

Write a quadratic equation in vertex form that can be represented by the graph that has a vertex at (3, 8) and passes through the point (2, 6) ? Enter the answer in VERTEX FORM.

Mathematical Equivalence

ON

Write a quadratic equation in vertex form that can be represented by the graph that has a vertex at (3, 8) and passes through the point (2, 6) ? Enter the answer in VERTEX FORM.

Mathematical Equivalence

ON

Mathematical Equivalence

OFF

Given the graph, write the equation of the quadratic in vertex form. (start with y=)

Mathematical Equivalence

OFF