Question

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

f(x) = −8x2 + 7

x g(x)
0 0
1 2
2 6
3 2
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.

Answer 1

B is correct

Explanation:

I took the test and got it right

Answer 2

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

Explanation:

Given
`f(x) = -8x^2 + 7`

First, we determine the maximum point of f(x).

f(x) is at maximum at the point of symmetry, i.e. where
`x=-(b)/(2a)`

a=-8, b=0

`x=-(0)/(2*-8)=0`

`f(0) = -8(0)^2 + 7=7`

• The maximum point of f(x) is (0,7)
• The maximum point of g(x) is (2,6)

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

The correct option is B.