Final answer:
To find the x-coordinate of the vertex of a quadratic equation in standard form, use the formula h = -b/(2a).
Step-by-step explanation:
To determine the value of h, which represents the x-coordinate of the vertex of a quadratic equation in standard form, we use the formula h = -b/(2a). In this case, the constants are a = 4.90 and b = 14.3. So, substituting these values into the formula, we get:
h = -14.3/(2 * 4.90)
h = -14.3/9.80
Therefore, the value of h is approximately -1.459.