What is the vertex of this equation

y = -3| x + 4| + 3

1 answer

To find the vertex of the equation y = -3| x + 4| + 3, we first need to determine the vertex form of the equation for an absolute value function.

The standard vertex form of an absolute value function is given by y = a| x - h| + k, where (h, k) is the vertex of the function.

Comparing this with the given equation, y = -3| x + 4| + 3, we can see that h = -4 and k = 3 are the x and y coordinates of the vertex.

Therefore, the vertex of the equation y = -3| x + 4| + 3 is (-4, 3).