1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
siniylev [52]
3 years ago
10

Graph each function.

Mathematics
1 answer:
artcher [175]3 years ago
7 0

Answer:

Step-by-step explanation:

We can recognize that the parent function for all of these graphs is going to be y=x^2. What this means is that we can graph y=x^2 and then apply transformations to it to get to all of these new graphs.

1. y = -x^2 + 5

We can see that the coefficient of the x^2 term is negative which tells us that the graph will now open downwards.

We also know that we are adding 5 on the outside of the argument which means it affect vertical shift. Therefore, we will be moving 5 units up.

2. y = x^2 - 4

We can see that the only change made to this equation is subtracting 4 on the outside of the squared part of the equation. Again, this signifies vertical movement, but since it's negative we will be moving the entire y = x^2 graph down 4 units.

3. y = -x^2 - 1

What do you notice about this graph?

- negative coefficient

- subtracting 1 outside of the argument

What do these mean?

- negative coefficient: opens downwards

- subtracting 1: move entire y = x^2 graph down 1 unit

You might be interested in
What is the equation of the line graphed below? Answer choices shown in image as well as the graph
lorasvet [3.4K]

Answer:

A

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
48 cookies; 25% decrease how do I do it?????
Harrizon [31]
Step One: Find 25% of 48.
Step Two: Subtract that number from 48.

48 * 0.25 = 12
48 - 12 = 36

36 cookies
4 0
3 years ago
A television network is about to telecast a new television show. Before a show is launched, the network airs a pilot episode and
GalinKa [24]

Let's first denote:

F - a favorable response

F' - an unfavorable response

S - successful

We know that:

P(F) = 0.6\\\\P(F')=0.4\\\\P(F\cap S)=0.5\\\\P(F'\cap S)=0.3

So, from the conditional probability, we can calculate:

P(S|F) = \dfrac{P(S\cap F)}{P(F)} = \dfrac{0.5}{0.6}=\dfrac{5}{6}\approx\boxed{0.83}

Answer E.

5 0
3 years ago
Sue a tollbooth worker is paid $12.50 per hour between 8 Am and 4 pm. After 4 pm she is paid $14.25 per hour. If Sue works from
katrin2010 [14]

Answer:

She earns that day $103.5

Step-by-step explanation:

Lets explain how to solve the question

- She is paid $12.50 per hour between 8 am and 4 pm

- After 4 pm she is paid $14.25 per hour

- She works one particular day from 10 am to 6 pm

* Lets distribute her time of work into two part according to her

 payment above

# 1st part from 10 am to 4 pm

∵ She is paid $12.50 per hour between 8 am to 4 pm

∵ She works from 10 am to 4 pm

- Calculate how many hours between 10 am and 4 pm

∵ am and pm not like terms in time, so change the time to 24-hours

∵ 4 pm in 24-hour time is 4 + 12 = 16

∴ She works form 10 to 16

∴ She works for 6 hours (16  - 10 = 6)

∴ She is paid = 12.50 × 6 = $75

# 2nd part after 4 pm to 6 pm

∵ She is paid $14.25 per hour after 4 pm

∵ She works from 4 pm to 6 pm

- Calculate how many hours between 4 pm and 6 pm

∵ Both times are pm

∴ She works for 2 hours (6 - 4 = 2)

∴ She is paid = 14.25 × 2 = $28.5

- Add the two answers of the 1st part and the 2nd part

∴ She earns = 75 + 28.5 = $103.5

* She earns that day $103.5

7 0
3 years ago
Read 2 more answers
A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money nee
Lapatulllka [165]

the correct answer is negative

4 0
3 years ago
Read 2 more answers
Other questions:
  • What does it mean if the distance between a point p and a line l is zero? What does it mean if the distance between two lines is
    6·1 answer
  • Mary has five-eighths of the total of pencils her and her sister own. Together, they have 96 pencils. How many pencils does Mary
    14·1 answer
  • The diameter of a circle is 20 centimeters.
    12·2 answers
  • I answered a question correctly and someone deleted my answer without giving me any explanation. I don't know why someone would
    9·2 answers
  • A timeline. 27 B C E to 180 C E PAX ROMANA. 44 B C E The Roman Empire was founded. 80 C E The Colosseum was built. 121 C E Hadri
    15·1 answer
  • - 1 2 (x + 5) = -10 I need helpppppp
    5·2 answers
  • Which three length cannot be the length of the sides of a triangle
    15·1 answer
  • There were 8 roses in the vase. Sally cut some more roses from her flower garden. There are now 11 roses in the vase. How many r
    12·1 answer
  • Column
    14·1 answer
  • How to find 2% of 3000 <br> without a calculator
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!