What is the maximum number of x-intercepts of any quadratic function?

A. 2

B. 3

C. 1

D. 0

A

Step-by-step explanation:

Quadratic function has a degree of 2, that means the highest power of x is 2.

They have a shape "U" and are known as "parabolas".

They can have 0, 1, or 2 x-intercepts depending on the type of roots (solutions) the equation has.

Imagine a U shaped curve (quadratic) that doesn't intersect x-axis at all. It will have no real solutions.

Now, imagine a U shaped curve (quadratic) that touches the x-axis and goes up or down. That one has two same real solutions.

Third, imagine a U shaped curve (quadratic) that intersects the x-axis TWICE and goes up or down. That one has 2 distinct real solutions.

Hence, the maximum number of x-intercepts any quadratic function can have is "2".

Correct answer is A