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Shkiper50 [21]
3 years ago
9

Graph the function y=x^2-4

Mathematics
1 answer:
7nadin3 [17]3 years ago
5 0
Pick x values and plot your parabola
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Helppppppppp pleaseeee Someoneeeee pleaseeee I neeed
Stella [2.4K]

Answer:

The minimum value of f(x) is 2

Step-by-step explanation:

  • To find the minimum value of the function f(x), you should find the value of x which has the minimum value of y, so we will use the differentiation to find it
  • Differentiate f(x) with respect to x and equate it by 0 to find x, then substitute the value of x in f(x) to find the minimum value of f(x)

∵ f(x) = 2x² - 4x + 4

→ Find f'(x)

∵ f'(x) = 2(2)x^{2-1} - 4(1)x^{1-1} + 0

∴ f'(x) = 4x - 4

→ Equate f'(x) by 0

∵ f'(x) = 0

∴ 4x - 4 = 0

→ Add 4 to both sides

∵ 4x - 4 + 4 = 0 + 4

∴ 4x = 4

→ Divide both sides by 4

∴ x = 1

→ The minimum value is f(1)

∵ f(1) = 2(1)² - 4(1) + 4

∴ f(1) = 2 - 4 + 4

∴ f(1) = 2

∴ The minimum value of f(x) is 2

7 0
2 years ago
The grade you make on your exam varies directly with the number of correct answers you get on the exam.Answering 15 questions co
yuradex [85]

<u>Answer:</u>

The grade you make on your exam varies directly with the number of correct answers. The constant of variation is 5

<u>Solution:</u>

Given, The grade you make on your exam varies directly with the number of correct answers you get on the exam.  

Answering 15 questions correctly will give you a grade of 75 what is the.  

We have to find what is the Constant of variation.

Now, according to the given information, grade  number of correct answer  

Then, grade = c x number of correct answers, where c is constant of variation.

Now, substitute grade = 75 and number of correct answers = 15

\text { Then, } 75=c \times 15 \rightarrow c=\frac{75}{15}=5

Hence, the constant of variation is 5

5 0
3 years ago
A bus travels at a speed of 80km per hour . what is the distance it travels by 15 mins.
Tatiana [17]

Answer:

The bus will travel 20km within 15 minutes

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I need help please I would really appreciate it
Alchen [17]

Answer:

Your answer to the fig. would be 14cm^2.

Adding area of both rectangles,

(8+6) cm^2

= 14cm^2

Hope it helps!!

6 0
3 years ago
Read 2 more answers
3/4 of 1/3 =? please show me how to do it
inysia [295]
I haven’t done this in a while, but I believe that the “of” in the equation means multiply so you do 3/4 x 1/3 to get 3/12 (simplified to 1/4)!!
7 0
2 years ago
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