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sukhopar [10]
3 years ago
9

What is the minimum point on a graph of f(x) = (x - 1)² - 3?

Mathematics
1 answer:
mariarad [96]3 years ago
8 0

Answer:

(1, -3)

First option

Step-by-step explanation:

The minimum point on the graph is also the <u>vertex</u>.

The quadratic function equation is given in <u>vertex form</u>, which is f(x) = a(x - h)^{2} + k

Using this equation, the vertex is (-h, k).

Whatever number you see for "h", find its opposite negative/positive. That will be the x-coordinate of the vertex. The y-coordinate for the vertex is the same as "k", keeping the negative and positive.

In f(x) = (x - 1)² - 3 using (-h, k) is:

h = -1   =>   -h = 1

k = -3

Therefore the vertex is (1, -3).

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atroni [7]
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7 0
3 years ago
In order to answer the question correctly, please use the following image below:
Maru [420]

Answer:

  see below

Step-by-step explanation:

The angle where chords cross is the average of the intercepted arcs. Here, that is ...

  (37° +46°)/2 = (83°)/2 = 41.5°

Angle SUT is 41.5°.

_____

<em>Comment on the error</em>

The measure of an arc cannot be arbitrarily said to be the same as the angle where the chords cross. It will be the same if (a) the chords cross at the circle center, or (b) the opposite intercepted arc has the same measure. Neither of these conditions hold here.

8 0
3 years ago
Read 2 more answers
Please procedure and solution <br><br>2 x |-6|-3 x |2|+|-14|=​
lora16 [44]

Applying the rule of modulus for given values, the expression will result to 20.

<h3>What is Modulus or Absolute Values</h3>

The modulus of a value for example |a|=a if a is greater than or equal to zero

and also

|a|=-a if a is less than zero

In the expression given; the modulus of -6 written as

|-6|=-(-6) this is because the value is less than zero

The modulus of 2 written as; |2|=2 this is because the value is greater than zero. and;

|The modulus of -14 written as; |-14|= -(-14) since the value is less than zero.

Hence, we can rewrite the expression as;

we deal with multiplication first following the rules of BODMAS

2×-(-6)-3×2+[-(-14)]

2×6-6+14

and thus adding values

12+14-6

and finally we subtract;

26-6

which will results to the solution of 20.

5 0
2 years ago
Can SOmeone please help me i need to get a good grade on this please!!!!!!
Rudik [331]

Answer:

20 Units

Step-by-step explanation:

Hight times length/by half is tribular prism Formula

3 0
2 years ago
On average, Tony the turtle completes a 15-foot course in 1 minute, and Antonio the turtle completes an 18-foot course in 1 minu
marishachu [46]

Answer:

15 feet.

Step-by-step explanation:

Tony's speed = 15 ft/min.

Antonio's = 18 feet /min.

So in 5 minutes Tony travels 5*15 = 75 feet and Antonio travels 5*18 = 90 feet.

So the answer is 90-75 = 15 feet.

8 0
3 years ago
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