Question

part 2 of 2
there \underline{\hspace{2cm}} \\( x \\)-intercept(s) to the corresponding quadratic function.
(blank 1.)

blank 1. options
are no
is one
are two

Explanation:

To determine the number of x - intercepts of a quadratic function, we can use the discriminant of the quadratic formula. For a quadratic function \(y = ax^{2}+bx + c\) (\(a
eq0\)), the discriminant is \(\Delta=b^{2}-4ac\).

• If \(\Delta> 0\), there are two distinct x - intercepts.
• If \(\Delta = 0\), there is one x - intercept (a repeated root).
• If \(\Delta<0\), there are no real x - intercepts.

However, since this is a fill - in - the - blank with options, and the most common case when we talk about the number of x - intercepts of a quadratic function (without specific function given, but in general context of quadratic functions), if we assume a general quadratic function, but since the problem is likely referring to a quadratic function with a discriminant that gives one x - intercept (for example, a perfect square trinomial like \(y=(x - 1)^{2}=x^{2}-2x + 1\), where \(\Delta=(-2)^{2}-4\times1\times1=4 - 4 = 0\)), the correct option is "is one".

Answer:

is one