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dolphi86 [110]
3 years ago
5

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.
Mathematics
2 answers:
frozen [14]3 years ago
7 0

Answer:

The maximum value of function 1 is 2 and  maximum value of function 2 is 4. So, function 2 has a larger maximum.

Step-by-step explanation:

In Function 1 :

f(x)=-3x^2+2

Lending coefficient is negative. It is a downward parabola and vertex is the maximum point.

vertex of a parabola ax^2+bx+c=0 is

vertex=(\frac{-b}{2a},f(\frac{-b}{2a}))

On comparing with given equation we ave;

a = -3 , b=0 and c = 2

then;

x =\frac{-0}{2(-3)} =0

Substitute the value of x =0 in f(x)=-3x^2+2 we have;

f(0)=-3(0)^2+2=0+2 = 2

⇒Vertex = (0, 2)

⇒the maximum value of function 1 is 2.

In Function 2:

Vertex = (0.5, 4)

⇒the maximum value of function 2 is 4.

Therefore, Function 2 has a larger maximum.

ANEK [815]3 years ago
6 0
2. i belive the answer should be

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