the zeros of a parabola are -4 and 2, and (6, 10) is a point on the graph. which equation can be solved to…

the zeros of a parabola are -4 and 2, and (6, 10) is a point on the graph. which equation can be solved to determine the value of a in the equation of the parabola?\n6 = a(10 - 4)(10 + 2)\n6 = a(10 + 4)(10 - 2)\n10 = a(6 - 4)(6 + 2)\n10 = a(6 + 4)(6 - 2)

the zeros of a parabola are -4 and 2, and (6, 10) is a point on the graph. which equation can be solved to determine the value of a in the equation of the parabola?\n6 = a(10 - 4)(10 + 2)\n6 = a(10 + 4)(10 - 2)\n10 = a(6 - 4)(6 + 2)\n10 = a(6 + 4)(6 - 2)

Answer

Answer:

D. (10 = a(6 + 4)(6 - 2))

Explanation:

Step1: Recall the factored - form of a parabola

The factored - form of a parabola with zeros (x_1) and (x_2) is (y=a(x - x_1)(x - x_2)). Given (x_1=-4) and (x_2 = 2), the equation of the parabola is (y=a(x+4)(x - 2)).

Step2: Substitute the point ((6,10)) into the equation

Substitute (x = 6) and (y = 10) into (y=a(x + 4)(x - 2)). We get (10=a(6 + 4)(6 - 2)).