The x-intercepts of a quadratic relation are - 4 and 3, and the second differences are positive.
a) Is the y-value of the vertex a maximum value or a minimum value? Explain.
b) Is the y-value of the vertex positive or negative? Explain.
c) Calculate the x-coordinate of the vertex.
a) The second differences are positive, meaning that the graph is concave up. This means that the y-value of the vertex is a minimum value, since the graph opens upward.
b) Since the vertex is a minimum value, the y-value of the vertex must be positive, as it is the lowest point on the graph.
c) The x-coordinate of the vertex can be found by taking the average of the x-intercepts: (3 - 4) / 2 = -0.5