Final answer:
To find the x-intercepts, set y equal to zero and solve for x. The x-intercepts of the parabola y = 3x² - 15x are 0 and 5.
Step-by-step explanation:
To find the x-intercepts of the parabola given by the equation y = 3x² - 15x, we set y equal to zero and solve for x.
0 = 3x² - 15x
Factoring out a common factor of x:
0 = x(3x - 15)
Setting each factor equal to zero:
x = 0
3x - 15 = 0
Solving for x in the second equation:
3x = 15
x = 5
Therefore, the x-intercepts of the parabola are 0 and 5.