# Maximum or Minimum

1a. 8.1-8.4: I can graph Quadratic Functions TEST Show all your work/steps. 2. Graph: 𝑓(𝑥) = 𝑥 ‘ − 2𝑥 − 3 • Circle: Opens upward or downward • Circle: Maximum or Minimum • Draw the Axis of Symmetry • Place a point on the Vertex • How many x-intercepts? ____ 1b. Match (draw arrows from the name to the correct function). Factored Form 𝑓(𝑥) = 𝑎𝑥 ‘ + 𝑏𝑥 + 𝑐 Standard Form 𝑓(𝑥) = 𝑎(𝑥 − ℎ)’ + 𝑘 Vertex Form 𝑓(𝑥) = 𝑎(𝑥 − 𝑝)(𝑥 − 𝑞) 3.Graph: 𝑓(𝑥) = (𝑥 + 5)’ − 2 4. Graph: 𝑓(𝑥) = 2(𝑥 + 3)(𝑥 + 1) Turn completed worksheet into Canvas! Assignment: Standard Form and Vertex Form Name: Wednesday 5/26 Worksheet: Standard Form and Factored Form SHOW YOUR WORK FOR CREDIT 2. 𝑓(𝑥) = (𝑥 − 1)(𝑥 + 3) What form is this quadratic function in? (Standard Form or Factored Form) How do you know? Find the x-intercepts of 𝑓(𝑥). [answers should be in the form of coordinate points (x, y)] How did you find the x-intercepts? Find the Axis of Symmetry for 𝑓(𝑥). (Answer should be in the form on a line x=___) How do you know that your answer is the correct axis of symmetry? Find the vertex of 𝑓(𝑥). How did you find the vertex? Graph the line of symmetry with a dotted line, the x-intercepts and vertex. Answer the following questions about the function. Domain: ______________ Range: _______________ Axis of Symmetry: _____________ Vertex: ___________________ (Circle) Maximum or Minimum Max/Min Value: _________ Turn completed worksheet into Canvas! Assignment: Standard Form and Vertex Form Name: Wednesday 5/26 Worksheet: Standard Form and Factored Form 1. 𝑔(𝑥) = 𝑥 + + 4𝑥 − 3 Which form is the function 𝑔(𝑥) in? (Standard Form or Factored Form) How do you know? Find the Axis of Symmetry. (Answer should be in the form on a line x=___) How did you find the Axis of Symmetry? Find the vertex of 𝑔(𝑥). How did you find the vertex? Choose 4 other x-values to help graph the parabola. Why did you choose those 4 x-inputs? Graph the line of symmetry with a dotted line, the vertex, and the other points you found. Answer the following questions about the function. Domain: ______________ Range: _______________ Axis of Symmetry: _____________ Vertex: ___________________ (Circle) Maximum or Minimum Max/Min Value: __________________ Algebra 1 Name___________________________________ ID: 1 8.2 Graphing in Standard Form Practice Date________________ Period____ Sketch the graph of each function. 1) y = −2x 2 + 12x − 16 2) y = −x 2 − 4x − 3 y y 3 2 2 1.5 1 1 0.5 1 2 3 4 5 6 7 8 9 10 x −5 −1 −4 −3 −2 −1 −0.5 −2 −1 −3 −1.5 1 x −2 −4 −2.5 −5 −3 −6 −3.5 −7 −4 3) y = x 2 + 6x + 8 4) y = x 2 − 2x y −5 −4 −3 −2 y 4 4 3.5 3.5 3 3 2.5 2.5 2 2 1.5 1.5 1 1 0.5 0.5 −1 −0.5 1 x −3 −2 −1 1 2 −0.5 −1 −1 −1.5 −1.5 −2 −2 -1©\ X2J0P2Q1Z TKFuItOac hSXotfvtiwCa_raez FLZLjCZ.N C NAEl_lg [rIiegvhstJsG Drseus[e_rOvSeGd^.c Y WM_aCdMeO VwdiXtWhF RIDnBfeiQnDiItxeh SAJlOgQeSbkrwaj U1j. 3 x Worksheet by Kuta Software LLC 5) y = −2x 2 + 16x − 33 6) y = 2x 2 + 12x + 14 y −2 −1 y 1 2 3 4 5 6 5 7 x −1 4 −2 3 −3 2 −4 1 −5 −8 −7 −6 −5 −4 −3 −2 −1 1 −6 −1 −7 −2 −8 −3 −9 −4 −10 −5 7) y = x 2 − 8x + 19 2 x 8) y = 2x 2 + 8x + 10 y y 8 11 10 7 9 6 8 5 7 6 4 5 3 4 2 3 2 1 1 1 2 3 4 5 6 7 x −7 −6 −5 −4 −3 −2 −1 1 2 3 x -2©M d2i0n2\1V LKRuytcaW SSUoPfFtawiaZroe] vLCLeCO.c j rAklBl_ VrHiSgehQtUsc pr]elsveYrwvleNdE.l ] WMPapdIec VwFidtGhV RInnYfCiGnWiwtie^ BAUlwgueEbZrRaY T1Q. Worksheet by Kuta Software LLC 9) y = −x 2 + 2x − 5 10) y = x 2 − 4x + 5 y −1 y 1 2 3 4 5 6 6 7 x 5.5 −1 5 −2 4.5 −3 4 3.5 −4 3 −5 2.5 −6 2 1.5 −7 1 −8 0.5 −9 −1 1 2 3 4 -3©\ H2y0`2[1w XKeuntEaU _SaoKfctlwXairpeK \LOLECh.H V PAKlDlG NrHiKglhUtPsv crpensDeErxvbejdx.i c hM`a\dleI TwiigtThp NI]nDfliQnDixt`eo XAHlNgmeCblrqaS Z1l. 5 x Worksheet by Kuta Software LLC
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