Question

I need help with math identify the vertex of the parabola

Answer 1

To identify the vertex of a parabola in the form y = ax + bx², you can use the formula x = -b/2a to calculate the x-coordinate of the vertex. Then, substitute this value into the equation to find the y-coordinate.

Step-by-step explanation:

The vertex of a parabola is the point where it reaches its minimum or maximum value. In the equation y = ax + bx², the vertex form of the parabola is y = a(x-h)² + k, where (h, k) represents the vertex. To identify the vertex of the parabola, you can calculate the x-coordinate using the formula x = -b/2a, and then substitute this value into the equation to find the y-coordinate.

For example, let's consider the equation y = 2x² - 8x + 6. The coefficient of x² is 2, so a = 2. The coefficient of x is -8, so b = -8. Using the formula x = -b/2a, we can calculate x = -(-8)/(2*2) = 1. Substituting x = 1 into the equation, we find y = 2(1)² - 8(1) + 6 = 0. Therefore, the vertex of the parabola is (1, 0).

Answer 2

The vertex of a parabola is the extreme point (maximum or minimum, depending on the the sign of the quadratic coefficient).

In the graph, we can see that the x-coordinate of the vertex is x=-1 and the y-coordinate is y=3.

Then, we can write the coordinates of the vertex as (h,k) = (-1,3)

Answer: The coordinates of the vertex are (-1,3)