Question

Which function has a vertex on the y-axis?

A.) fx) = (x - 2)^2
B.) fx) = x(x + 2)
C.) fx) = (x - 2)(x + 2)
D.) f(x) = (x + 1)(x - 2)

Answer 1

The function with a vertex on the y-axis is option B) fx) = x(x + 2).

Step-by-step explanation:

The function that has a vertex on the y-axis is option B.) fx) = x(x + 2).

To determine the vertex of a function, we need to look at the equation in the form of y = ax² + bx + c. In option B, we have y = x(x + 2) = x² + 2x, which matches the required form. Since b = 2, the vertex of the function is on the y-axis.