Thursday, April 2, 2020

Quadratic function part 1

Assalamualaikum and salam sejahtera..

How are guys. Hopefully all of you #stayathome, #staysafe and #studyathome.

Today we will look at the quadratic functions- part 1.


PLEASE READ AND COPY THE NOTES BELOW.

The basic formula or standard form of quadratic equations is:

 f (x) = ax2 + bx + c.      or        y = ax2 + bx + c


Forming the the quadratic function in factor form. The factor form is

    f(x) = a(x - k)(x - m)   or    y = a(x - k)(x - m)
 
    where k and m is the x-intercepts.
     .
  Concavity review (article) | Khan Academy
For concave up, the value of a is always positive,  a>0.

For concave down, the value of a is always negative,  a<0.


Quadratic Functions and Their Graphs


The vertex for concave up is always at the bottom of the curve, and will represent the lowest value of y. For the above example, the vertex lies at (1, - 4).

The range of the graph is y ≥ - 4.

The line of symmetry will divide the curve equally. It may look like the line of reflection.
The equation of the line of symmetry is always a straight line. For the above example, the equation for the line of symmetry is x = 1, because the straight line is vertical and passing through 1 at x- axis.

Quadratic Functions
For concave down, the vertex lies on top of the curve.

Task 1 :
Watch Video 1 and Video 2. Copy the examples in your note book.

VIDEO 1.

For further explanation and example, watch video 2.

VIDEO 2.


Task 2:
Have you watch both videos? Make sure you watch it!!

Click PROCEED to proceed with the lesson.

PROCEED



Task 3 :
Try the exercises below. Copy the diagrams, and answer all the questions in your book.

EXERCISES


Task 4:
Time to test your understanding......
Click the link below to start your quiz. The due date is 6 April 2020 , 11.45pm.

The QUIZ   code : 307545

Have you get your highest score?
If Yes, please record your highest mark here.

You may click the link here to look at your recorded mark.



Good luck to you all......






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