6) Select the x-coordinate of the vertex of the parabola defined by the function
f(x) = -7x^2 + 3x + 1.
a) - 7/3
b) 1
c) 3/14
d) - 3/7
B 1
the x-coordinate of the vertex is -b/(2a)
= -3/-14
= 3/14 , which is C
To find the x-coordinate of the vertex of a parabola in the form f(x) = ax^2 + bx + c, you can use the formula x = -b/(2a).
In this case, the function is f(x) = -7x^2 + 3x + 1. Comparing it to the standard form ax^2 + bx + c, we can see that a = -7, b = 3, and c = 1.
Using the formula x = -b/(2a), substitute the values of a and b:
x = -3/(2(-7))
Simplifying further:
x = -3/(-14)
Which gives us:
x = 3/14
Therefore, the x-coordinate of the vertex of the parabola defined by the function f(x) = -7x^2 + 3x + 1 is 3/14.
So, the correct answer is c) 3/14.