Functions 1 and 2 are shown below:

function 1: f(x) = −3x2 + 2
a graph of a parabola with x intercepts of negative 0.5, 0 and 2, 0 and a vertex of 0.5, 4 is shown.

which function has a larger maximum? type your answer as 1 or 2.

The function 2 has a larger maximum.

Step-by-step explanation:

The vertex form of the parabola is

             .... (1)

Where, (h,k) is the vertex.

The given functions are

                ..... (2)

Since the leading coefficient is negative, therefore it is a downward parabola. It means the vertex of the parabola is the maximum point.

On comparing (1) and (2), we get

Therefore the maximum value of the function is 2 at x=0.

The second function has x intercepts of (-0.5, 0) and (2, 0) and a vertex of (0.5, 4).

It is also a downward parabola because the parabola has two x-intercepts and the vertex lies above the x-axis.

Since the vertex is (0.5, 4), therefore the maximum value of the function is 4 at x=0.5.

Therefore function 2 has a larger maximum.

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point