Final answer:
To find the vertex of the given parabola y = 10x^2 + 3, we use the formula -b / (2a), where a is the coefficient of x^2 and b is the coefficient of x. Plugging in the values, we find that the vertex is at (0, 3).
Step-by-step explanation:
The given equation is y = 10x^2 + 3.
To find the vertex, we can use the formula x = -b / (2a), where a is the coefficient of x^2 and b is the coefficient of x.
In this case, a = 10 and b = 0. Plugging these values into the formula, we get x = 0.
Substitute this value of x back into the equation to find the y-coordinate of the vertex. y = 10(0)^2 + 3 = 3.
Therefore, the vertex of the parabola represented by the equation is (0, 3).