Graph the quadratic function. f (x) = - 4x² + 2

Question

Quizplus · Accepted Answer

The quadratic function is in the form f(x) = ax^2 + bx + c.
Comparing this form with given equation,
a = -4, b = 0, c = 2
Since the coefficient of x^2 is negative, the graph opens downwards.
The vertex of the parabola can be found using the formula: x = -b/2a.
Here, x = 0/(2*(-4)) = 0.
So, the vertex is at (0,2).
Since the coefficient of x^2 is -4, the parabola is narrow.
Putting these observations together, we can select the graph that has a narrow, downward-facing parabola with a vertex at (0,2). The only option that satisfies all of these conditions is option B.

Graph the Quadratic Function