Final answer:
The equation in standard form of a parabola with x-intercepts at (7,0) and (10,0) that opens upward is y = a(x - 7)(x - 10)
Step-by-step explanation:
The equation in standard form of a parabola with x-intercepts at (7,0) and (10,0) that opens upward can be written as:
y = a(x - 7)(x - 10)
Since the parabola opens upward, the coefficient 'a' must be positive. To determine the value of 'a', we can substitute one of the given points into the equation:
0 = a(7 - 7)(7 - 10)
0 = a(0)(-3)
0 = 0
This equation holds true for any value of 'a', which means there are infinitely many parabolas that satisfy the given conditions. Therefore, the standard form of the equation of a parabola with x-intercepts at (7,0) and (10,0) that opens upward is y = a(x - 7)(x - 10)