Quadratic Functions

1a. 8.1-8.4: I can graph Quadratic Functions TEST Show all your work/steps. 2. Graph: 𝑓(π‘₯) = π‘₯ ‘ βˆ’ 2π‘₯ βˆ’ 3 β€’ Circle: Opens upward or downward β€’ Circle: Maximum or Minimum β€’ Draw the Axis of Symmetry β€’ Place a point on the Vertex β€’ How many x-intercepts? ____ 1b. Match (draw arrows from the name to the correct function). Factored Form 𝑓(π‘₯) = π‘Žπ‘₯ ‘ + 𝑏π‘₯ + 𝑐 Standard Form 𝑓(π‘₯) = π‘Ž(π‘₯ βˆ’ β„Ž)’ + π‘˜ Vertex Form 𝑓(π‘₯) = π‘Ž(π‘₯ βˆ’ 𝑝)(π‘₯ βˆ’ π‘ž) 3.Graph: 𝑓(π‘₯) = (π‘₯ + 5)’ βˆ’ 2 4. Graph: 𝑓(π‘₯) = 2(π‘₯ + 3)(π‘₯ + 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(π‘₯) = (π‘₯ βˆ’ 1)(π‘₯ + 3) What form is this quadratic function in? (Standard Form or Factored Form) How do you know? Find the x-intercepts of 𝑓(π‘₯). [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(π‘₯). (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(π‘₯). 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(π‘₯) = π‘₯ + + 4π‘₯ βˆ’ 3 Which form is the function 𝑔(π‘₯) 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(π‘₯). 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 = βˆ’2x 2 + 12x βˆ’ 16 2) y = βˆ’x 2 βˆ’ 4x βˆ’ 3 y y 3 2 2 1.5 1 1 0.5 1 2 3 4 5 6 7 8 9 10 x βˆ’5 βˆ’1 βˆ’4 βˆ’3 βˆ’2 βˆ’1 βˆ’0.5 βˆ’2 βˆ’1 βˆ’3 βˆ’1.5 1 x βˆ’2 βˆ’4 βˆ’2.5 βˆ’5 βˆ’3 βˆ’6 βˆ’3.5 βˆ’7 βˆ’4 3) y = x 2 + 6x + 8 4) y = x 2 βˆ’ 2x y βˆ’5 βˆ’4 βˆ’3 βˆ’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 βˆ’1 βˆ’0.5 1 x βˆ’3 βˆ’2 βˆ’1 1 2 βˆ’0.5 βˆ’1 βˆ’1 βˆ’1.5 βˆ’1.5 βˆ’2 βˆ’2 -1Β©\ 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 = βˆ’2x 2 + 16x βˆ’ 33 6) y = 2x 2 + 12x + 14 y βˆ’2 βˆ’1 y 1 2 3 4 5 6 5 7 x βˆ’1 4 βˆ’2 3 βˆ’3 2 βˆ’4 1 βˆ’5 βˆ’8 βˆ’7 βˆ’6 βˆ’5 βˆ’4 βˆ’3 βˆ’2 βˆ’1 1 βˆ’6 βˆ’1 βˆ’7 βˆ’2 βˆ’8 βˆ’3 βˆ’9 βˆ’4 βˆ’10 βˆ’5 7) y = x 2 βˆ’ 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 βˆ’7 βˆ’6 βˆ’5 βˆ’4 βˆ’3 βˆ’2 βˆ’1 1 2 3 x -2Β©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 = βˆ’x 2 + 2x βˆ’ 5 10) y = x 2 βˆ’ 4x + 5 y βˆ’1 y 1 2 3 4 5 6 6 7 x 5.5 βˆ’1 5 βˆ’2 4.5 βˆ’3 4 3.5 βˆ’4 3 βˆ’5 2.5 βˆ’6 2 1.5 βˆ’7 1 βˆ’8 0.5 βˆ’9 βˆ’1 1 2 3 4 -3Β©\ 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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