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Lostsunrise [7]
3 years ago
10

Which form of a quadratic function is easiest to use when finding the maximum or minimum value of the function?

Mathematics
2 answers:
BaLLatris [955]3 years ago
7 0

Answer:

Vertex form

Step-by-step explanation:

There are several forms of the quadratic equation

Standard form: y = ax^2 + bx + c which is useful for the quadratic equation and the axis of symmetry

Factored form: y = (ax - c)(bx - d)   which will give us the zeros

and

Vertex form: y = a(x - h)2 + k where ( h,k) is the vertex

The maximum and minimum would be the value of k

It would be maximum when a >0 and minimum when a<0

alexandr402 [8]3 years ago
4 0

Answer:

ax² + bx + c

Step-by-step explanation:

The form of a quadratic equation that is easy to use when finding the maximum or minimum value of the function is ax² + bx + c.

Suppose a quadratic function:

f(x) = 2x² - 8x + 9

Use ( -b/2a ,  f(-b/2a) ).

-b/2a

a = 2

b = -8

-(-8)/2(2)

8/4

= 2

f(2) = 2(2)² - 8(2) + 9

f(2) = 2(4) - 8(2) + 9

f(2) = 8 - 16 + 9

f(2) = 1

The minimum value of this quadratic function is (2, 1).

It represents a minimum value because a > 0.

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Help plead and thank you :)
STALIN [3.7K]
Plug in 10 for both functions
f(10) = 4(10)^4 = 40,000
g(10) = 3 * 3^10 = 177,147
Now which value is greater?

Solution: A f(10) < g(10)
7 0
3 years ago
Solve for n:<br> (n+4)/10 = (n-8)/2
nalin [4]

Answer:

n=11

Step-by-step explanation:

(n+4)/10 = (n-8)/2

We can solve using cross products

(n+4) * 2 = 10 * ( n-8)

Distribute

2n+8 = 10n -80

Subtract 2n from each side

2n+8-2n = 10n-80-2n

8 = 8n-80

Add 80 to each side

8+80= 8n-80+80

88 = 8n

Divide each side by 8

88/8 = 8n/8

11 = n

4 0
1 year ago
Read 2 more answers
Solve |p + 2| = 10 {-12} {-8, 8} {-12, 8}
Lena [83]

Hello.

The symbols | | mean the absolute value, which is keeps the numbers postive.

Of the answers shown, the correct answer is {-8, 8) because |-8 + 2| = 10, because of the absolute value symbols | |. (Also |8 + 2| of course equals 10.)

3 0
3 years ago
Write the polynomial in standard form. Then name the polynomial based on it's degree and number of terms.
Ivenika [448]

ANSWER

c. 6x^2 + 2x + 8, quadratic trinomial

EXPLANATION

The given polynomial is

8 - 4 {x}^{2}  + 10 {x}^{2}  + 2x

We regroup the terms to get;

10  {x}^{2}  - 4 {x}^{2}  + 2x + 8

Simplify now to obtain:

6 {x}^{2}  + 2x + 8

This is a quadratic polynomial function based on the degree.

It is also a trinomial based on the number of terms.

The correct answer is C

5 0
3 years ago
Read 2 more answers
PLease help me on this I have ten minutes left
Harlamova29_29 [7]

Answer:

4

Step-by-step explanation:

4 0
2 years ago
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