Identify the vertex and axis of symmetry
Identify the vertex, axis of symmetry, and direction of opening of a quadratic relation given in vertex form. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
A parabola has the equation shown. What are the coordinates of its vertex?
y = (x - 1)2 + 4
- (−1, 4)
- (1, 4)
- (4, 1)
- (1, −4)
Answer: (1, 4)
See one solved, step by step
A parabola has the equation shown. What is the equation of its axis of symmetry?
y = −(x + 6)2 + 2
📘 Worked solution
1y = −(x + 6)2 + 2This is vertex form: y = a(x - h)^2 + k.
2The bracket is (x + 6), so h = −6.The axis of symmetry is a vertical line through the vertex, x = h.
3Since a = −1 < 0, the parabola opens downward.This tells us the vertex is a maximum point.
4Axis of symmetry: x = −6That's the vertical line the parabola is symmetric about.
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