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Quadratic Functions
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Published on Nov 20, 2015
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PRESENTATION OUTLINE
1.
Quadratic Functions
By: Romyrl Mestiola
2.
Parabola
- A curve where any point is at an equal distance from a fixed point and a fixed straight line.
3.
Axis of symmetry
-A vertical line that divides the parabola into two congruent halves.
4.
Quadratic equation
-Is any equation having the form, where x represents an unknown, and a,b,c represents numbers which is not equal 0.
5.
Standard form of quadratic
y = ax2 + bx + c, where a, b, and c are real numbers and a = 0.
6.
Vertex form of quadratic
y = a( x-h)2 + k, where (h,k) is the vertex of the parabola.
7.
Zero product property
-The Zero Product Property states that if ab = 0, then either a = 0 or b = 0, or both a and b are 0.
8.
Zeros of function
- A zero of a function is an input value that produces an output of zero.
9.
Factoring
-Finding what to multiply to get an expression.
10.
Difference of squares
-Two terms that are squared and separated by a subtraction sign that can be factored into (a+b) (a-b).
11.
Perfect square trinomial
- The product of two binomials that are the same.
12.
Quadratic formula
- A method used to find the roots of a quadratic equation.
13.
Discriminant
-Helps tell you the number of real solutions to a quadratic equation.
14.
Imaginary number
-A number that when squared gives a negative result.
15.
Complex number
-A combination of a real and an imaginary number in the form a + bi.
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