Then the x-intercept of the given quadratic function is (3, 0) and the vertex is at (3, 0).
What is a quadratic function?
A quadratic function is a polynomial function with one or more variables in which the highest-degree term is of the second degree.
The given quadratic function is:
g(x) = - 5(x - 3)²
Therefore, the quadratic equation is:
-5(x - 3)² = 0
⇒ (x - 3)² = 0
⇒ (x - 3) = 0
⇒ x = 3
Therefore, the x-intercept is at (3, 0) and the vertex is at (3, 0).
Learn more about a quadratic function here: https://brainly.com/question/16098824
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