9th,Alg2,Per4

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(SUMMARY)
  **[|Purpose Game- Quadratic Function]** Chapter 5 lesson 1 example 1 y=(2x+3)(x-4) =2x^2-8x+3x-12 multiply =2x^2-5x-12 write in standard form

Chapter 5 Lesson 1 Exampl e 2: Find the vertex, the axis of symmetry, points P’ and Q’ corresponding to P and Q. Axis of symmetry is the line evenly dividing the parabola. In this parabola the Axis of symmetry is X=0 The vertex is the is the highest or lowest point on a parabola. In this Parabola the vertex is (0,0)

The corresponding points of P and Q are the mirror points on the other side of the graph. On this graph P is (-2,4) and P' is ( 2,4) Q is (-1,1) and Q' is (1,1)

Chapter 5 Lesson 1 Example 3: 5-1-3 Find a quadratic function that includes the values in the table. Substitute the values of x and y into y= ax^2 + bx + c. The result is a system of three linear equations y=ax^2 + b^2 + c 3=a(2)^2 + b^2 + c  13= a(3)^2 + b^2 + c  29= a(4)^2 + b^2 + c  Using one of the methods of Chapter 3, solve the system. The solution is a = 3 b = -5 c = 1 Chapter 5 Lesson 2. Example 2:

Chapter 5. Lesson 2. Example 2 Solve for :   

Multiplying the two extreme constants which is 5 and the factors for 5 are 5 and 1,which when we add becomes 6,also both are positive, Hence,writing the middle term as a combination of these two factors,it looks like,

taking out the common terms in the first two terms and last two terms,

Now taking out the common in the above equation,

Now either of the expression on the right equals to zero, or

The solution is or Final solution is  or  Chapter 5: Lesson 4. Example 1. **Example 1** – Graph: **Step 1**: Find the vertex. Since the equation is in vertex form, the vertex will be at the point (h, k). **Step 2**: Find the y-intercept. To find the y-intercept let x = 0 and solve for y. **Step 3**: Find the x-intercept(s). To find the x-intercept let y = 0 and solve for x. You can solve for x by using the square root principle or the quadratic formula (if you simplify the problem into the correct form). **Step 4**: Graph the parabola using the points found in steps 1 – 3.