University:
High School
Course:
High School Mathematics
Academic year:

2023
Views:

228

Pages:

6
Author:

tibo20073j

NOTES Target le: I can graph quadratic functions from various forms Target ld: I can identify characteristics of quadratic functions A. Identify the vertex of each graph; identify whether it is a minimum or a maximum. 2.) 1. ) -4 Vertex: ( I 1-2 ! 1'---ilf-----il--I -;- 2) OJ In j l)'lLUY1 ctt � ·= -2.. Vertex: (2.. , i ) mat)(i mum at 'l � 't Key Features of a Parabola • Direction of Opening: When a > 0 , the parabola opens When a < 0 , the parabola opens • When lal = 1, the parabola is the • • • • du: Width: When lal < 1, the parabola is LU l Ue cl,OW h .ti than y = x (VU-hGa l shd (1 \!,) 2 Sa m-l- width as y = x2 h 2 When lal > 1, the parabola is na trc4ier than y = x {vu- Ctl l S;h-eJuh) Vertex: The highest or lowest point of the parabola is called the vertex. Axis of symmetry: This is a vertical line passing through the vertex. x-intercepts: Where the parabola crosses the x-axis. Plug iny = 0 and solve for x. 1-interce t: Where the arabola crosses the y-axis. Plu in x = 0 and solve for Without graphing the quadratic functions, complete the requested information: .c- 2 3.) f(x)=3x -7x+l What is the direction of opening?_ (Jf) Is the vertex a max or min? IY\ \n Wider or narrower than y = x2? rt\ rOW f.,.\" r 5.) l,;2..6" 5 ? g(x) =--x·· +x-3 4 4.) What is the direction of opening? o\_ Is the vertex a max or min? [(\"' 'X Wider or narrower than y = x2 ? Y\O\ wn rrO WY 6.) y=-0.6x2 +4.3x-9.l 2 2 -11 y=-x 3 What is the direction of opening? Is the vertex a max or min? Wider or narrower thany = x2? W O'.)\n Up a.er d n What is the direction of opening? DU) Is the vertex a max or min? MIAX Wider or narrower than y = x2? \,1J{ C( . d 1