1. Section 5-3 Transforming Parabolas

2. Standard form vs Vertex Form  Standard form is y = ax 2 +bx+c  Vertex form is y = a(x-h) 2 + k

3. Vertex form y = a(x-h) 2 + k  In this form you can tell this: Vertex is (h, k) Axis of symmetry x = h “a” is positive happy, “a” is negative sad If the absolute value of a is < 1 the graph will be wider than the graph of y = x 2 If the absolute value of a is > 1 then the graph will be narrower than the graph of y = x 2

4. Look at y =.5(x-2) 2 + 3  Vertex  Axis of symmetry  Find another point

5. y = -2(x-5) 2 - 1  Vertex  Axis of symmetry

7. Write the equation of the parabola shown below.

8. Write y = –7x 2 – 70x – 169 in vertex form.

9. Write each function in standard form  y = -(5x+6) 2 - 9

11. 2.Identify the vertex and the y-intercept of the graph of y = –2(x + 5) 2 + 8. 3.Write the equation y = 3x 2 + 12x – 1 in vertex form. Checking for Understanding