Comics About Quadratic Equation
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- Hi,So As you know I was not here for few days, So I be curios about our lesson, so can you help me about it?
- Sure, of course
- Ok so they say our lesson was something about a quadratic equation?
- Yes!! so a quadratic equation is an equation and within that there are two forms. Within the equation there is a variable that is unknown and you have to calculate that but, the hint is that it can never equal to zero otherwise it's a linear equation but we learned that before. Also, the exponents also known as the degrees should have a sum of two. Then when you graph a quadratic equation it should look like a downwards U or upwards.
- Ah. that makes sense but what are the two forms you mentioned? And i seen the word parabola used is that the U?
- Yeah, so parabola is just the correct term. But the two forms are standard and factored. So factored form is always represented as y=a(x-r)(x-s) where x and s are represented as zeros. Whereas, standard form is a more simple version which is ax²+b+c+0.
- Thank you so much, this will help me a lot, So now I know something about quadratic equation. I can confidently answer in our upcoming monthly exam!!
- Sure I am also happy that i have helped, as a Marian It is my pleasure to help my classmate.
- Oh, that makes sense so how exactly would you transition from factored to standard form?
- okay, so the easiest way to explain is if i just show you an example since factored form is just when the constant is distributed.
- 3(x+2)(x+2)= (3x+6)(x+2)=3x²+6x+6x+12=3x²+12x+12
- Lastly could you explain all of these definitions on this paper.
- Actually i have the defintion paper right here for you
- Vertex: highest or lowest point on the graphAxis of symmetry: A vertical line between the zerosSecond differences:subtracting the first differences in the table from each-other.Zeros: When the x-value touches with the x-axis on the cartesian planeY- intercept: When the y-value touches the y-axis
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