Consider the quadratic function f(x) = 4x^2 - 1. its vertex is preview the x value of its largest x-intercept is x = the y value of the y-intercept is y = preview preview preview

Vertex = (0,-1)

The x value of its largest x-intercept is .

The y value of the y-intercept is y = -1.

Step-by-step explanation:

The given function is

          .... (1)

The vertex form of a parabola is

        ..... (2)

where, a is a constant, (h,k) is vertex of the parabola.

From (1) and (2) we get

So, the vertex of the parabola is (0,-1).

Substitute f(x)=0 in equation (1) to find x-intercepts.

Add 1 on both sides.

Divide both sides by 4.

Taking square root both sides.

The x-intercepts are and .

Therefore the x value of its largest x-intercept is .

Substitute x=0 in equation (1) to find the y-intercept.

Therefore the y value of the y-intercept is y = -1.