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All 9 Flashcards — Vertex & axis of symmetry
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Question
Formula for the axis of symmetry?
Answer
x = −b/(2a) for y = ax² + bx + c — also midway between the x-intercepts.
Question
What does completing the square give you?
Answer
Vertex form a(x − h)² + k, which shows the vertex (h, k) directly.
Question
How do you complete the square on x² + bx + c?
Answer
Halve b, square it for the bracket (x + b/2)², then adjust the constant to keep it equal.
Question
Where is the max/min value in vertex form?
Answer
It's k, reached at x = h: minimum if a > 0, maximum if a < 0.
Question
Complete the square: x² − 6x + 11.
Answer
(x − 3)² + 2, so the vertex is (3, 2).
Question
Vertex of y = a(x − h)² + k?
Answer
(h, k) — note (x − 3)² means h = +3.
Question
How do you find a quadratic from its vertex and a point?
Answer
Write y = a(x − h)² + k, substitute the point to find a.
Question
Minimum value vs minimum point?
Answer
Value = k (a number); point = (h, k) (coordinates).
Question
Axis of symmetry of y = x² − 6x + 5?
Answer
x = −(−6)/(2·1) = 3.
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Full study notes for Vertex & axis of symmetry
Topic 2.6 hub
Quadratic functions
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Math AA SL exam skills
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