What is the vertex is this equation g(x) = |x - 7| +3

Answer 1

The vertex form of a quadratic equation is given by g(x) = a|b(x - h)| + k, where (h, k) represents the vertex.

In the given equation g(x) = |x - 7| + 3, we can see that the coefficient of x is 1, and b = 1. Therefore, a = 1.

Using the formula h = b(x - h), we have h = -7.

To find k, we substitute the value of h into the equation: g(-7) = |-7 - 7| + 3 = |-14| + 3 = 14 + 3 = 17.

Therefore, the vertex of the equation g(x) = |x - 7| + 3 is (-7, 17).