Question

Given the points (0, -3) and (3, -3), write the equation in vertex form.

Option 1: y = (x - 1.5)^2 - 3

Option 2: y = (x + 1.5)^2 - 3

Option 3: y = (x - 3)^2 - 3

Option 4: y = (x + 3)^2 - 3

Answer 1

The equation in vertex form for the given points (0, -3) and (3, -3) is y = (x - 1.5)^2 - 3.

Step-by-step explanation:

The given points are (0, -3) and (3, -3). To write the equation in vertex form, we first need to find the vertex of the parabola. The x-coordinate of the vertex is the average of the x-coordinates of the given points, which is (0 + 3) / 2 = 1.5. The y-coordinate of the vertex is the same as the y-coordinate of the given points, which is -3. Therefore, the equation in vertex form is y = (x - 1.5)^2 - 3. Option 1: y = (x - 1.5)^2 - 3 is the correct answer.