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.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

according to egenuity the answer is

step-by-step explanation:

d. 344.22