Algebra Research

The Magic Key Myth

This myth maintains that there is a magic key or general insight into understanding all math problems. There is, however, no formula, rule, or general guideline which willsuddenly unlock the mysteries of math. If there is a key to doing math, it is in overcoming anxiety about the subject, dispelling restrictive myths, and applying the same effort and skills you use to doeverything else.

The Quadratic Formula
The quadratic formula derives from the standard form of a quadratic equation Ax2 + Bx + C = 0 is then developed by completing the square.

Why are yousolving for x? Using the quadratic formula you are looking for the x-intercepts or roots in a parabola. To solve the quadratic formula, the equation must be in the form ax+bx+c=0.
Example:1) 5x2 + 7x+1=0 -Identify the values of a, b and c
A b c

-Use the quadratic formula and substitute-Solve the equation

Finding the Vertex of a Parabola
A vertex is the maximum or minimum point in a Parabola. To find the vertex you need the Quadraticfunction, f(x)=ax2+bx+c. The axis of symmetry in a Parabola is the imaginary line that divides a figure in two parts.

Example:

1) f (x)= x2+6x+9 -First you identify the a, b and c in theequation
a b c

-Then use the formula to find x.

f(-3) = (-3 )+ 6(-3) + 9 = 0 -Plug inthe value you found into the equation.

-Make a table with the two answers, x=-3; y=0Vertex: -3,0 Axis of Symmetry: -3 (The vertex is the x & y and the axis of symmetry is the x-intercept.)

Completing the Square
This is another...