Презентация, доклад по математике Квадратичная функция, 10 класс

This point . . .is called the vertex

Слайд 1Made by ALEX
P1 Chapter 4
«Translations and Completing the Square»

Made by ALEXP1 Chapter 4«Translations and Completing the Square»

Слайд 2This point . . .
is called the vertex

This point . . .is called the vertex

Слайд 3The vertex is now ( 0, 3)

The vertex is now ( 0, 3)

Слайд 4We get

We get

Слайд 5Translating in both directions

Translating in both directions

Слайд 6SUMMARY

SUMMARY

Слайд 84 Sketch the curve found by translating
by .

What is its equation?

5 Sketch the curve found by translating

by . What is its equation?

4 Sketch the curve found by translatingby    . What is its equation?5 Sketch the

Слайд 9We often multiply out the brackets as follows:




is said to

be in its completed square form.
We often multiply out the brackets as follows: is said to be in its completed square form.

Слайд 10The completed square form of a quadratic function
gives the vertex

The completed square form of a quadratic functiongives the vertex

Слайд 11The equation of the curve is
Check: The vertex is (

-2, 3)
The equation of the curve is Check: The vertex is ( -2, 3)

Слайд 12e.g.
To write a quadratic function in completed square form:
Half the coefficient

of x

- 4

- 16

Subtract 16 to get rid of (-4)2

Check by multiplying out!

+7

e.g.To write a quadratic function in completed square form:Half the coefficient of x- 4- 16Subtract 16 to

Слайд 13Draw a pair of brackets containing x with a square outside.
Insert

the sign of b and half the value of b.

SUMMARY

Square half of b and subtract it.

Add c.

Collect terms.

Draw a pair of brackets containing x with a square outside.Insert the sign of b and half

Слайд 141.
2.
3.

Exercises
Complete the square for the following quadratics:

1.2.3.ExercisesComplete the square for the following quadratics:

Слайд 154.
5.
6.
Hint: Start by taking 2 out as though it were a

common factor
4.5.6.Hint: Start by taking 2 out as though it were a common factor

Что такое shareslide.ru?

Это сайт презентаций, где можно хранить и обмениваться своими презентациями, докладами, проектами, шаблонами в формате PowerPoint с другими пользователями. Мы помогаем школьникам, студентам, учителям, преподавателям хранить и обмениваться учебными материалами.


Для правообладателей

Яндекс.Метрика

Обратная связь

Email: Нажмите что бы посмотреть