Answer:
-4
Explanation:
Given any quadratic function of the form:
[tex]y=ax^2+bx+c[/tex]Its discriminant is obtained by using the formula:
[tex]D=b^2-4ac[/tex]Comparing our given equation with the form of a quadratic above, we have:
[tex]y=\frac{1}{4}x^2+4\text{ }where\begin{cases}a=\frac{1}{4} \\ b=0 \\ c=4\end{cases}[/tex]Therefore, the discriminant will be:
[tex]D=b^2-4ac=0^2-4(\frac{1}{4})(4)=0-4=-4[/tex]The value of the discriminant for the given quadratic is -4.
