All categories

3 years ago

What is the vertex of the graph of g(x)=|x-3|-3

Mathematics

1 answer:

Sedbober [7]3 years ago

3 0

Answer:

(3, -3)

Step-by-step explanation:

The vertex of the most general absolute value function is y = |x|, whose vertex is at (0, 0). Focusing on the " |x - 3| " tells us that the graph of y = |x| is moved 3 units to the right. Next, focusing on the " -3 " as it tells us that the resulting graph is shifted 3 units down. Thus, the vertex of g(x)=|x-3|-3 is at (3, -3).

You might be interested in

a deck of cards contains red cards number 23 blue cards numbered 1 2 3 4 and green cards numbered one to if a single card is pic

svp [43]

Correct question:

A deck of cards contains RED cards numbered 1,2,3, BLUE cards numbered 1,2,3,4, and GREEN cards numbered 1,2. If a single card is picked at random, what is the probability that the card is BLUE OR has an ODD number?

Answer: 2/13

Step-by-step explanation:

Number of red cards = 3 (1,2,3)

Number of blue cards = 4 (1, 2, 3, 4)

Number of green cards = 2 (1,2)

Total number of cards in a deck = 52

Probability of picking a blue card OR has an odd number

P(picking a blue card ) = required outcome / possible outcome

P( picking a blue card ) = 4/52 = 1/13

P( odd number card ) = 6/52 = 3/26

P(blue and odd) = 2/52 = 1/26

P(picking a blue card or an odd number )

P(picking a blue ) U P(picking an odd number)

P(picking a blue) + (P(picking an odd) - P(picking a blue odd)

1/13 + 3/26 - 1/26= (2 + 3 - 1)/26 = 4/26 = 2/13

6 0

3 years ago

A salesman has a base salary $2600 per month and makes 3 commission on each unit sold. If his total annual compensation is $48,0

nevsk [136]

Answer:

Each unit cost $800

Step-by-step explanation:

Annual compensation = $48,000

Annual number of units sold = 2000

Commission on each item sold = 3%

Compensation for 2000 units = $48,000

Compensation for 1 unit = $48,000/2000 = $24

Cost of one unit = compensation for one unit ÷ commission on one unit = $24 ÷ 3% = $24 ÷ 0.03 = $800

8 0

3 years ago

Read 2 more answers

Can someone please help me with this question ASAP.It is due tommorrow.

ololo11 [35]

D. All irrational numbers are rational numbers.

I attached the diagram my teacher showed us when we learned about this. I think it makes it a lot less confusing.

Hope this helps :)

7 0

3 years ago

Read 2 more answers

HELPLPOO ASAP PLEASE HELP MEE

Novosadov [1.4K]

The answer is that I think it is 5

6 0

3 years ago

The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?

MAXImum [283]

<span>f(k) = k2 + 2k + 1 = (k+1)^2
The range is what the function gives to you f(k)=25=5^2 or (-5)^2
f(k)=64=8^2 or (-8)^2

You need to find the k values for these boundary values to find the domain.
Good luck :)</span>

7 0

3 years ago