Parabola Blueprint Review Worksheet
Parabola Blueprint Review
Phase 1: Component Identification & Structural Analysis
Name:
Date:
Part 1: Architectural Mapping
Blueprint #01
y = x2 - 4x + 3
Vertex:
Axis of Symmetry:
Min/Max:
Zeros:
y-intercept:
-6 6 6 -6
Blueprint #02
y = -x2 + 2x + 3
Vertex:
Axis of Symmetry:
Min/Max:
Zeros:
y-intercept:
-6 6 6 -6
Blueprint #03
y = x2 + 2x - 3
Vertex:
Axis of Symmetry:
Min/Max:
Zeros:
y-intercept:
-6 6 6 -6
Blueprint #04
y = -x2 - 4x
Vertex:
Axis of Symmetry:
Min/Max:
Zeros:
y-intercept:
-6 6 6 -6
Part 2: Component Breakdown (Factoring)
5. x2 + 7x + 10 = 0
Roots:
6. x2 - 9x + 20 = 0
Roots:
7. x2 - 25 = 0
Roots:
8. 2x2 + 5x + 3 = 0
Roots:
Part 3: Formula Calibration
x = &frac{-b ± √b2 - 4ac}{2a}
9. Solve: x2 + 4x - 1 = 0
A: Extraction
a = ____, b = ____, c = ____
B: Discriminant
D = b2 - 4ac = ___________
C: Formal Substitution
x =
D: Result
10. Solve: 2x2 - 3x - 5 = 0
A: Extraction
a = ____, b = ____, c = ____
B: Discriminant
D = ___________
C: Substitution
x =
D: Solutions
11. Solve: 3x2 + 10x + 5 = 0
A: Extraction
a = ____, b = ____, c = ____
B: Discriminant
D = ___________
C: Substitution
x =
D: Solutions
12. Solve: x2 - 6x + 7 = 0
A: Extraction
a = ____, b = ____, c = ____
B: Discriminant
D = ___________
C: Substitution
x =
D: Solutions
Parabola Blueprint Assessment Assessment
Parabola Blueprint Assessment
Final verification of structural analysis proficiency
Candidate:
Date:
1. Graphing Analysis
Verification Site #01
y = x2 - 2x - 3
Vertex:
Axis of Symmetry:
Min/Max Value:
Zeros (Roots):
y-intercept:
-6 6 6 -6
Verification Site #02
y = -x2 + 4
Vertex:
Axis of Symmetry:
Min/Max Value:
Zeros (Roots):
y-intercept:
-6 6 6 -6
2. Factoring Mastery
3. Solve: x2 + 8x + 12 = 0
Architectural Workspace
Root 1:
Root 2:
4. Solve: x2 - 2x - 8 = 0
Architectural Workspace
Root 1:
Root 2:
3. Formula Execution
5. Solve: x2 - 4x + 2 = 0
Step A: Extraction
a = ____, b = ____, c = ____
Step B: Discriminant
D = _______________
Step C: Substitution
x =
Step D: Verified Result
x = _____________________
6. Solve: 2x2 + 5x + 1 = 0
Step A: Extraction
a = ____, b = ____, c = ____
Step B: Discriminant
D = _______________
Step C: Substitution
x =
Step D: Verified Result
x = _____________________
Parabola Blueprint Review Teacher Key
ANSWER KEY
Parabola Blueprint Review
Part 1: Graphing Analysis
1. y = x2 - 4x + 3
Vertex: (2, -1)
AOS: x = 2
Min: -1
Zeros: (1, 0), (3, 0)
y-int: (0, 3)
2. y = -x2 + 2x + 3
Vertex: (1, 4)
AOS: x = 1
Max: 4
Zeros: (-1, 0), (3, 0)
y-int: (0, 3)
3. y = x2 + 2x - 3
Vertex: (-1, -4)
AOS: x = -1
Min: -4
Zeros: (-3, 0), (1, 0)
y-int: (0, -3)
4. y = -x2 - 4x
Vertex: (-2, 4)
AOS: x = -2
Max: 4
Zeros: (-4, 0), (0, 0)
y-int: (0, 0)
Part 2: Factoring
5. x = -5, -2
6. x = 4, 5
7. x = 5, -5
8. x = -1.5, -1
Part 3: Quadratic Formula
9. D=20. Solutions: x ≈ 0.24, -4.24
10. D=49. Solutions: x = 2.5, -1
11. D=40. Solutions: x ≈ -0.61, -2.72
12. D=8. Solutions: x ≈ 4.41, 1.59
