# Pre Calculus Project

More Options: Make a Folding Card

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• A teacher in class decided to teach a new interesting lesson on a beautiful Sunday morning.﻿
• The quadratic function is a function of a form, f(x)=ax2+bx+ c, where 'a' can't be equal to 0.
• The students were interested and were engaged in the new lesson.﻿
• ﻿Is the graph of a quadratic function a parabola?
• This seems interesting!!﻿
• The teacher started by explaining how to find the standard form of the quadratic formula.
• Yes. Now for finding the standard form of a quadratic formula﻿, complete the squares by using (-b/2)2
• 3x2- 6x + 1﻿ 3 ( x2 - 2x + _____) + 1 - _____ 3 ( x2 - 2x + 1 ) + 1 - 3 ( 1 ) 3 ( x - 1 )2 - 2
• ﻿Complete the square by adding 1 inside the parenthesis and subtracting 3 x 1 from outside, then you just factor.
• Then, she taught them how to find the vertex.
• Vertex﻿
• To find ﻿the vertex we use this standard form, f ( x ) = a ( x - h )2 + k Use points (h,k) as (x,y) to graph the vertex. In the example I gave you, the vertex will be, ( 1, -2 )
• The teacher then moved on and explained the minimum and maximum value.
• Now for finding the minimum or maximum value of a quadratic function, the minimum or maximum value of f occurs at x = h.
• ﻿If a>0, then the minimum value of f is f ( h ) = k, and the parabola is facing upwards. If a<0, then the maximum value of f is f ( h ) = k, and the parabola is facing downwards.
• The students were interested and they started asking questions.
• Oh Mrs. Christy, to find the minimum or maximum value do we use (-b/2a) ?﻿
• Done By: Tala Jomaa
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