Grade 11 Mathematics: Quadratic Functions Made Easy (Detailed Explanations) 2020
Channel: Academic Coordinates
Date: 2020-07-12

In this video, Grade 11 Class is introduced to a more detailed approach in  Quadratic Functions, also referred to as Parabolic Functions or simply Parabolas. These Quadratic Functions are subject to both vertical and horizontal shift.

It was emphasized that the name Quadratic Function is a result of the highest power of x in the function (2). 

y= ax^2 +c is the equation used and 'a' was stated and explained as the vertical stretch of the Graph. The effect of the value of 'a' is explained in detail for both the positive and negative values of a.

The c is the value where the quadratic function cuts or cross the y-axis, referred to as the y-intercept. and an addition or subtraction to the value of c resulted in a vertical shift to the Graph.

The standard form of the Quadratic Function is taken to a Vetex form through the technique of completing the square.

The Vertex form y=a(x-p)^2 + q introduces us to x=p which is the axis of symmetry, and the value of p shifts the function horizontally while that of q is responsible for shifting the function vertically. 

From the Vertex form, the point (p,q) is the stunning point of the Quadratic Function.


Please Guys ask me questions if you require clarity ....

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Academic Coordinates