Parabola Pilot Quiz
Parabola Pilot Quiz
Flight Mission: Quadratic Navigation
Pilot:
Date:
Flight Instructions: Identify the Vertex, X-Intercepts, and Y-Intercept for each flight path. Plot these points on the radar grid and draw the curve. Each grid square represents 1 unit.
Mission 1
\(y=x^2-6x+5\)
Vertex:
X-Intercepts:
Y-Intercept:
x
y
Radar Scan: Q1
Mission 2
\(y=-(x-2)^2+4\)
Vertex:
X-Intercepts:
Y-Intercept:
Radar Scan: Q2
Mission 3
\(y=2(x+1)(x-3)\)
Vertex:
X-Intercepts:
Y-Intercept:
Radar Scan: Q3
Final Approach
\(y=-x^2+4\)
Calculations Log
Vertex:
X-Intercepts:
Y-Intercept:
Parabola Pilot Certification • Series NAV-01
Mission Success Criteria: Precision and Symmetry
Parabola Pilot Answer Key
Answer Key
Flight Mission: Master Navigation Log
TEACHER REFERENCE
Q1: \(y=x^2-6x+5\)
Vertex: (3, -4)
X-Intercepts: (1, 0), (5, 0)
Y-Intercept: (0, 5)
Strategic Work: \(x=\frac{-b}{2a}=\frac{6}{2}=3\). \(y=f(3)=-4\). Factored: \((x-1)(x-5)\).
Target: Upward Curve
Q2: \(y=-(x-2)^2+4\)
Vertex: (2, 4)
X-Intercepts: (0, 0), (4, 0)
Y-Intercept: (0, 0)
Strategic Work: Vertex read directly as \((h, k)\). Negative sign indicates downward curve.
Target: Downward Curve
Q3: \(y=2(x+1)(x-3)\)
Vertex: (1, -8)
X-Intercepts: (-1, 0), (3, 0)
Y-Intercept: (0, -6)
Strategic Work: Roots at -1 and 3. Vertex at \(x=1\). Plug in: \(y=2(2)(-2)=-8\).
Target: Upward Curve
Q4: \(y=-x^2+4\)
Vertex: (0, 4)
X-Intercepts: (-2, 0), (2, 0)
Y-Intercept: (0, 4)
Strategic Work: Standard quadratic reflected and shifted up 4. Roots at \(x=\pm 2\).
Target: Downward Curve
