Using parabola concepts, it is found that the graph that represents [tex]f(x) = -2x^2[/tex] is given by option A.
- The graph of a second degree equation is a parabola.
- If the leading coefficient, that is, the term that multiplies [tex]x^2[/tex] is positive, the parabola is concave up.
- Otherwise, if the leading coefficient is negative, the parabola is concave down.
In this problem, we have [tex]f(x) = -2x^2[/tex], which has a negative leading coefficient, thus it is a concave down parabola, which is represented by option A.
A similar problem is given at https://brainly.com/question/24042425
