Quadratics โ Day 3 Name
Notes Date Per.
You can use the values in a table representing a quadratic function to find solutions to a quadratic
equation.
๏ท Identify the points in the table that have y-values of 0.
๏ท The x-values of those points are the solutions to the equation.
The table below models the function f(x) = 2x2 โ 2x โ 12. Find solutions to the quadratic
equation 2x2 โ 2x โ 12 = 0.
x
y
โ3
12
โ2
0
โ1
โ8
0
โ12
1
โ12
2
โ8
3
0
4
12
The roots of the function are the x-coordinates of the points on the graph where the
y-coordinate is 0. Look for rows in the table where y = 0. Two points in the table have a
y-coordinate of 0: (โ2, 0) and (3, 0). The o-coordinates of these points are โ2 and 3. The zeros
of the function, or the roots of the equation, are โ2 and 3. Both โ2 and 3 are solutions.
