Quadratic Function Graphs2
- 1. 11P.R.3 Analyze quadratic functions of 2 the form y = a (x – p) + q and determine the • vertex • domain and range • direction of opening • axis of symmetry · x - and y -intercepts
- 2. Vertex y = 67(x-3)2-6 v: (3,-6) y = -3 (x + 2) 2 + 10 v: (-2, 10) y = (x + 67) 2 - 18 v: (-67, -18)
- 3. Domain and Range 2 y = 3(x+4) + 6 Domain = { <x< } ( , ) Range: {6 x < } [6, )
- 4. Direction of Opening 2 y = 3(x+4) + 6 up 2+6 y = -3(x+4) down
- 5. Axis of Symmetry y = 67(x-3)2-6 x=3
- 6. x and y intercepts x intercept is where the line crosses the x axis, (y = 0) y intercept is where the line crosses the y axis, (x = 0)
- 7. x intercept 2 + 27 y = -3 (x + 2) y=0 0 = -3(x + 2) 2 + 27 2 -27 = -3(x+2) -27/-3 = (x+2)2 9 = (x+2) 2 9=x+2 x intercept = 1 and -5 3 = x +2 (1,0) & (-5,0) x = 1 or -5
- 8. y intercept 2 + 27 y = -3 (x + 2) x=0 2 + 27 y = -3(0+2) y = -3(4) + 27 y = -12 + 27 y = 15 y intercept = 15 (0,15)