Question

Courtney and Jeremy hold a flashlight so that the light falls on a piece of graph paper in the shape of a parabola. Courtney and Jeremy sketch the shape of the parabola and find that the equation y= x2 - 3x -10 matches the shape of the light beam. Determine the zeros of the function.

Answer 1

Zeroes are -2, 5

Explanation:

y=x^2-3x-10

Set y equal to 0 to determine the zeroes of the function

0=x^2-3x-10

Factor

0=x^2+2x-5x-10

0=x(x+2) + -5(x+2)

0=(x-5)(x+2)

x-5=0 x+2=0

x=5 x=-2