Locate the Vertex: Analyzing y = x²

Video Solution

Solution Steps

00:00 Find the vertex of the parabola

00:03 We will use the formula to describe a parabolic function

00:09 The coordinates of the vertex are (P,K)

00:18 We will write our function as a template of the formula

00:21 We will use this formula and find the vertex point

00:24 We will substitute appropriate values according to the given data

00:28 And this is the solution to the question

Step-by-Step Solution

To find the vertex of the parabola $y = x^2$ , we follow these steps:

Step 1: Identify the coefficients from the equation $y = x^2$ . Here, $a = 1$ , $b = 0$ , and $c = 0$ .
Step 2: Use the vertex formula $x = -\frac{b}{2a}$ to find the x-coordinate of the vertex. Substituting the values, we get:

x = -\frac{0}{2 \times 1} = 0

Therefore, the x-coordinate of the vertex is $0$ .

Step 3: Substitute $x = 0$ back into the equation to find the y-coordinate:

y = (0)^2 = 0

Thus, the y-coordinate of the vertex is also $0$ .

Therefore, the vertex of the parabola $y = x^2$ is $(0,0)$ .

The correct answer choice is: $(0,0)$ .