University:
Williams College
Course:
MATH 140 | Calculus II
Academic year:

2019
Views:

278

Pages:

4
Author:

Courtney English

Algebra II A 5.1 Worksheet Name: ________________________________ Given the quadratic in STANDARD FORM, y  ax  bx  c : find the y-intercept, use the formula x   2 b to write 2a an equation for the axis of symmetry and find the vertex, determine whether the quadratic opens up or down, circle whether the quadratic has a minimum or maximum value, find the min/max value. Then graph the parabola! 1. y  2 x 2  1 a=_____ b=_____ 2. c=_____ y  x 2  2x  1 a=_____ b=_____ c=_____ Y-intercept __________ Y-intercept __________ Vertex ( _____, ______) Vertex ( _____, ______) Equation for Axis of Symmetry: X = _________ Equation for Axis of Symmetry: X = _________ Opens Up or Opens Down Opens Up or Opens Down Maximum Maximum or Minimum Max/Min Value __________ or Minimum Max/Min Value __________ 3. 1 y   x2 1 4 a=_____ b=_____ 4. c=_____ 1 y   x 2  4x  1 2 a=_____ b=_____ c=_____ Y-intercept __________ Y-intercept __________ Vertex ( _____, ______) Vertex ( _____, ______) Equation for Axis of Symmetry: X = _________ Equation for Axis of Symmetry: X = _________ Opens Up or Opens Down Opens Up or Opens Down Maximum Maximum or Minimum Max/Min Value __________ or Minimum Max/Min Value __________ 5. y  3x 2  12 x  5 a=_____ b=_____ c=_____ 6. y   x 2  8 x  13 a=_____ b=_____ c=_____ Y-intercept __________ Y-intercept __________ Vertex ( _____, ______) Vertex ( _____, ______) Equation for Axis of Symmetry: X = _________ Equation for Axis of Symmetry: X = _________ Opens Up or Opens Down Opens Up or Opens Down Maximum Maximum or Minimum Max/Min Value __________ or Minimum Max/Min Value __________ 7. y  x 2  2x  2 a=_____ b=_____ 8. c=_____ y  2 x 2  12 x  14 a=_____ b=_____ c=_____ Y-intercept __________ Y-intercept __________ Vertex ( _____, ______) Vertex ( _____, ______) Equation for Axis of Symmetry: X = _________ Equation for Axis of Symmetry: X = _________ Opens Up or Opens Down Opens Up or Opens Down Maximum Maximum or Minimum Max/Min Value __________ or Minimum Max/Min Value __________ Write the function in standard form by finding the product. 9. y  2x  5x  2 10. y  2 x  1x  4 11. y  2 x  4   1 12. y    x  3  6 2 2

Algebra II Worksheet 5

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