Question

if the zeros of a quadratic functions are -2 and 4, which graph could represent the function?
a.
graph of a parabola with x-intercepts at -2 and 4
b.
part of a graph, likely another parabola

Explanation:

Step1: Recall Zeroes of Quadratic

The zeros of a quadratic function are the x - intercepts (where \(y = 0\)). So the graph should cross the x - axis at \(x=-2\) and \(x = 4\).

Step2: Analyze Graph A

Graph A is a parabola (quadratic graph) that intersects the x - axis at \(x=-2\) and \(x = 4\), which matches the given zeros.

Step3: Analyze Graph B (Incomplete)

The graph for option B is not fully visible, but from the partial view, it does not seem to have x - intercepts at \(-2\) and \(4\) (and the main visible part does not show the correct x - intercepts).

Answer:

A. The graph in option A (the parabola crossing the x - axis at \(x=-2\) and \(x = 4\))