Ravi sketches the parabola y = x^2 - 6x + 5 on graph paper. By completing the square he writes it as y = (x - 3)^2 - 4. What are the coordinates of the lowest point (vertex) of the parabola?

Question

Accepted Answer

(3, -4). In y = (x - 3)^2 - 4, the minimum occurs when (x - 3)^2 = 0, i.e. x = 3, giving y = -4. Vertex is (3, -4).

Ravi sketches the parabola $y = x^{2} - 6 x + 5$ on graph paper.
By completing the square he writes it as $y = (x - 3)^{2} - 4$ .
What are the coordinates of the lowest point (vertex) of the parabola?

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More Class 10 Completing the Square practice

Ravi sketches the parabola y=x2−6x+5 on graph paper.By completing the square he writes it as y=(x−3)2−4.What are the coordinates of the lowest point (vertex) of the parabola?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Completing the Square practice

Ravi sketches the parabola $y = x^{2} - 6 x + 5$ on graph paper.
By completing the square he writes it as $y = (x - 3)^{2} - 4$ .
What are the coordinates of the lowest point (vertex) of the parabola?