E-Maths Note: Quadratic Equations & Graphs Series

For those in Sec 3s, you will be learning more about Quadratic Graphs. Not so much of the drawing like in Sec 2s, but more of indepth understanding.

A quadratic graph typically is either a smiley face :) or a sad face :( some prefer to call them U or n shape.

Q1: Do you know how to tell the "mood" of the quadratic graph given its equation? Be very speific to ensure crystal clear understanding.

Eg $y=-3+x-2x^2$ :) or :(

Here are some important features of a quadratic graphs

1. $x-intercepts aka the roots$
2. $y-intercept$
3. the turning point, either a max or a min point
4. Equation of line of symmetry

Q2: Do you know that given a sketch of a quadratic graph with the x-intercepts indicated clearly, you can find

1. the equation of the graph
2. the equation of line of symmetry
3. the co-ordinates of the turning point

By the way, co-ordinate is often referred to the "address" of a particular point. It looks like this : (x,y)

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Ai Ling Ong

Hi, I'm Ai Ling Ong. I enjoy coaching students who have challenges with understanding and scoring in 'O' Level A-Maths and E-Maths. I develop Math strategies, sometimes ridiculous ideas to help students in understanding abstract concepts the fast and memorable way. I write this blog to share with you the stuff I teach in my class, the common mistakes my students made, the 'way' to think, analyze... If you have found this blog post useful, please share it with your friends. I will really appreciate it! :)

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