Question

which choice describes the x-intercepts (also called the zeros) of a quadratic function?

the points where the graph crosses the x-axis.

the point where the graph crosses the y-axis.

Explanation:

Define x-intercepts of a function

The \(x\)-intercepts of any function's graph are the points where the graph intersects or crosses the horizontal \(x\)-axis, corresponding to the values of \(x\) where \(y = 0\).

Identify the correct description

• "The points where the graph crosses the x-axis" matches the definition of \(x\)-intercepts (zeros).
• "The point where the graph crosses the y-axis" defines the \(y\)-intercept.

Answer:

• The points where the graph crosses the x-axis. (Correct answer)
• The point where the graph crosses the y-axis.