Pinpoint the Vertex of the Quadratic Function: y = x² + 3

Question

Find the vertex of the parabola

$y=x^2+3$

00:00 Find the vertex of the parabola

00:03 Use the formula to describe the parabola function

00:07 The coordinates of the vertex are (P,K)

00:13 Use this formula and find the vertex point

00:24 Substitute appropriate values according to the given data

00:27 And this is the solution to the question

To solve for the vertex of the parabola given by the equation $y = x^2 + 3$ , we will follow these steps:

Step 1: Identify the coefficients from the equation. We have $a = 1$ , $b = 0$ , and $c = 3$ .
Step 2: Calculate the x-coordinate of the vertex using the formula $x = -\frac{b}{2a}$ . Since $b = 0$ , the formula becomes $x = -\frac{0}{2 \times 1} = 0$ .
Step 3: Find the y-coordinate of the vertex by substituting $x = 0$ back into the equation. Calculate $y = (0)^2 + 3 = 3$ .

Therefore, the vertex of the parabola is at the point $(0, 3)$ .

This corresponds to choice 3: $(0,3)$ .

$(0,3)$