Page 1 of Midterm (1-8)

1)  h and k are the vertex...

• h is number underneath the radical (opposite)
• k is the y coordinate of the vertex


• domain (input) - x values
• range (output) - y values

2)  (a + b)² = a² +2ab + b²

3)  (a + b)(a - b) = Difference of two squares...

• Two perfect.....whatever first squared and last term squared
• cancel out your middle terms....

6v * 6v = 36v^2.....middle term cancels out....7(-7) = -49

4) Parabola....quadratics equations for parabolas...negative leading

-3 is a....a is negative means the parabola opens DOWN!

5) Combining like terms

Consider the expression below:

5x² + 7x + 2 - 2x² + 7 + x²

The terms 5x², -2x², and x² are like terms because they each consist of a constant times x squared.
Now the coefficients of each set of like terms are added. The coefficients of the first set are the constants themselves, 2 and 7. When added the result is 9. The coefficients of the second set of like terms are 5, -2, and 1. Therefore, when added the result is 4.
With the like terms combined, the expression becomes

9 + 7x + 4x²

The Combining Like Terms process is also used to make equations easier to solve.