Question

Find the vertex of y = x^2 - 2x + 3.
a. (1, -2)
b. (0, 4)
c. (1, 2)
d. (0, 3)

Answer 1

To find the vertex of the quadratic equation y = x^2 - 2x + 3, we calculate h = -b/(2a) and substitute it back into the equation to find k. The vertex is at (1, 2).

Step-by-step explanation:

The question is to find the vertex of the quadratic function y = x^2 - 2x + 3. The vertex form of a quadratic function is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

To find the vertex, we can use the formula h = -b/(2a) and then calculate k by substituting h back into the original equation. Given a = 1 and b = -2, we calculate h as follows:

• h = -(-2)/(2*1) = 1

Now, we substitute h = 1 back into the original quadratic equation to find k:

• k = (1)^2 - 2*(1) + 3 = 1 - 2 + 3 = 2

Therefore, the vertex of the parabola is (1, 2).