Question

Identify the vertex and y-intercept of the graph of the function y = (x + 2) − 3. Use the drop-down menus to show your answer.

Answer 1

The vertex of the graph of the function y = (x + 2) - 3 is (-1/2, -1) and the y-intercept is -1.

Step-by-step explanation:

The vertex of the graph of the function y = (x + 2) - 3 can be found by using the formula x = -b/2a. In this case, the quadratic form of the function is y = ax^2 + bx + c, where a = 1, b = 1, and c = -1. Therefore, the vertex can be calculated as:

-b / (2*a) = -1 / (2*1) = -1/2

The x-coordinate of the vertex is -1/2.

To find the y-intercept, we can substitute x = 0 into the equation and solve for y.

y = (0 + 2) - 3 = 2 - 3 = -1

The y-intercept is -1.