The coordinates of the vertex of the graph are (-2, -9).
<h3>Further explanation</h3>The quadratic function is described by the standard equation The graph of a quadratic function is called a parabola.
We have the quadratic function
- We identify the coefficients a, b, and c. For this equation,
- The axis of symmetry is
, i.e.,
Thus, the statement in the question for the symmetry axis x = -2 is correct.
- The vertex (or turning point) is
where
or
- The parabola opens upward because a > 0, resulting in a vertex that is a minimum.
Finding the minimum value is as follows:
Therefore, the coordinates of the vertex of the graph are (h, k), i.e.,
Other components:
- The y-intercept of the quadratic function f(x) = x² + 4x - 5 is (0, c), i.e., the point
- The factorization of f (x) = x² + 4x - 5 becomes f(x) = (x + 5)(x - 1). Then we get the x-intercepts at
- Which is the graph of f(x) = (x - 1)(x + 4) brainly.com/question/2334270
- Finding the y-intercept of the quadratic function f(x) = (x – 6)(x – 2) brainly.com/question/1332667
- The midpoint brainly.com/question/3269852
Keywords: the axis of symmetry, for a function, f(x) = x² + 4x − 5, x = −2, which is the graph of f(x) = (x - 1)(x + 4), what, the coordinates of the vertex of the graph, the x-intercept, quadratic function, a standard equation, the y-intercept, parabola, upward, the minimum value
