The quadratic functions f(x) and g(x) are described as follows:

f(x) = −4x2 + 5

x g(x)
0 0
1 1
2 5
3 1
4 0

which of the following statements best compares the maximum value of the 2 functions? (5 points)

it is the same for both functions.

f(x) has a greater maximum value than g(x).

g(x) has a greater maximum value than f(x).

the maximum values cannot be determined.

It is the same for both functions.  

Step-by-step explanation:

ƒ(x) =-4x² + 5

a = -4, b = 0, and c = 5

The coefficient of a is negative, so we have a downward-opening parabola.

The axis of symmetry is at x = -b/(2a) = 0

The vertex is at y = f(0) = -4 × 0² + 5  = 5

g(x) is symmetrical about x = 2.

Then its vertex is at g(2) = 5.

The vertices are the same for both functions.

The diagram below shows their graphs.

step-by-step explanation: