When graphing a linear equation that is written in the form y=mx+b, the variable m represents the y-intercept. Assuming that b>0, which of the following best describes how reversing the sign of b would affect the graph?

A) The new line will be shifted down b units
B) The new line will be shifted down b x 2 units
C) The new line will be a perfect reflection across the x-axis
D) The new line will be a perfect reflection across the y-axis

Answers

Answer 1

B. A numeric example of this is with a y-intercept of 7. Changing it to -7 will cause a downwards shift of 14 units. This is because it takes 7 units to get down to 0, then another 7 to get to -7.
A downwards shift of b units will always result in a new value of 0, so this is obviously not true. Reflection has nothing to do with the y-intercept, or b value. So beyond the mathematical explanation provided above, you could solve this using the process of elimination.

Answer 2

B) The new line will be shifted down b x 2 units

How does the B affect the graph?

As we can see from the graphs, changing b affects the location of the vertex with respect to the y-axis. When b = 0, the vertex of the parabola lies on the y-axis. Changing b does not affect the shape of the parabola (as changing a did). Making b positive or negative only reflects the parabola across the y-axis.

What does B mean when graphing?

The number b is the coordinate on the y-axis where the graph crosses the y-axis.

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Related Questions

Which of the following is not a safety guidelines for swimming?
A.Be aware of the threat of hypothermia and cold water or whether
B.Always with flippers in a mask
C.Never goes swimming alone
D.Walk or wait until open or unknown bodies of water as opposed to jumping or diving

Answers

Answer:

Explanation:

the other answers clearly show the proper and safe way to swim

Always with flippers in a mask is not a safety guideline for swimming. Then the correct option is B.

What are the safety guidelines for swimming?

The safety guideline for swimming represents the safety parameters for the swimmer. Some of the tips are given below.

Be aware of the threat of hypothermia and cold water whether.Never goes swimming alone.Walk or wait until open or unknown bodies of water as opposed to jumping or diving.

Always with flippers in a mask is not a safety guideline for swimming.

Then the correct option is B.

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How would I word a theoretical question to describe the linear relationship between States, gender, and age of individuals who were in fatal alcohol-related traffic accidents?

Answers

Answer:

Explanation:

Is there any relationship between the 50 States of the union when comparing the age and gender of individuals involved in fatal alcohol related traffic accidents?

If (A, B) is the solution to the system of equations shown above, and A and B are integers, then what is the value of A+B?

Answers

Answer:

-14

Explanation:

A=-8

B=-6

A+B=-14

Does anyone have some ideas for an herbalism or culinary project? I need to start my graduation project so I'm prepping for it

Answers

You could make mustard from mustard seeds.

Make muffins? They are very casual and well they are not super simple nor too much

how did loftus interpret false memories?
A. because of their desire to please whoever is asking them about their memories people will often go along with what they want to hear

B. eyewitness memories becomes faulty when we make errors in identifying the source of information we have stored in long term memory

C. we accept subsequent misinformation as being correct, and this information becomes part of our memory for the original event

D. when we retrieve a memory for a particular event from long-term memory, we also retrieve information from other sources relevant to the event

Answers

Loftus interpreted false memories by:

B)eyewitness memories becomes faulty when we make errors in identifying the source of information we have stored in long term memory

Answer:

B. eyewitness memories becomes faulty when we make errors in identifying the source of information we have stored in long term memory

Explanation:

Loftus interprets false memories by eyewitness memories becomes faulty when we make errors in identifying the source of information we have stored in long term memory.

Can you help me find area of the shaded region?

Answers

Answer:

Explanation:

Step One

The very first step is to show that triangles ΔABC, ΔFDC and ΔGEC are similar to one another.

1. All three triangles have a right angle in them.

ΔABC has a right angle at AΔFDE has a right angle at <FDEΔGEC has a right angle at <GEC

2. All three triangles have a common angle at C

3. All three triangles are similar by AA

Step Two

Find the ratios of the heights to one another.

AC / DC = 3/2

AB / DF = 3/2 The sides of similar triangles are in the same ratio.

Step Three

Find the area of ΔABC

Area ΔABC = 1/2 AB * AC

Area ΔABC = 81

Step Four

Find the Area of ΔDFC

Area of ΔDFC = 1/2 DF * DC

But DF and DC are known in terms of AB and AC

Area of ADC = 1/2 * 2/3 * AB * 2/3 * AC

Area of ADC = 1/2 * 4/9 * AB * AC

However 1/2 AB * AC = 81 so

Area ADC = 4/9 * 81 = 36

That's a very long complex step. Make sure you follow it through.

Step Five

Find the area of ΔGEC

By a similar process

EC = 1/3 AC

EG = 1/3 AB

Area ΔGEC = 1/2 * EC * EG

Area ΔGEC = 1/2 * 1/3 AC * 1/3 AB

Area ΔGEC = 1/2 * 1/9 * AB * AC

But 1/2 AB * AC = 81

Area ΔGEC = 1/9 * 81 = 9

Last Step

Find the area of the shaded area

ΔFDC - ΔGEC = Shaded area

36 -9 = 27 = shaded area

Please help me with this problem?

Answers

Answer:

Explanation:

Let's look at two examples.

y = 4x + 2

y = 4x + 9

These two will never intersect, no matter how long they both are. The reason is because they have a different y intercept (2 and 9).

They are parallel.

Here's the second example

2y = 8x + 16

y = 4x + 8

These are 2 equations that you have been given. If you divide the first one by 2 you get the second one. That means you have an infinite number of solutions. No exceptions.

So the correct answer is C

I think its C not sure tho

SAT No Calculator section question in the picture

Answers

Answer:

Explanation:

I don't think you can really tell. You need one more statement like

BC is equal to AM

Only then will the answer of 1/3 be right.

Answer: 1/3

Explanation:

A partially filled pool contains 600 gallons of water. A hose is turned on, and water flows into the pool at the rate of 8 gallons per minute. How many gallons of water will be in the pool after 70 minutes?

Answers

Answer:

40 gallons

Explanation:

the rules is -8x + 600 = y becuase every minute 8 gallons is empty and theres 600 to begin with

x is the number of minutes and y is the numbers of gallons

so you do -8 times 70 plus 600

which will gove you 40

What step of the scientific method immediately follows ''state the problem"?

Answers

Answer

Form a hypothesis follows right after

why has there been such a large increase in theft and other crimes in the u.s

Answers

The reasons for the rise in theft and other crimes in the United States are;

The COVID-19 pandemicThe defunding of police

What has led to the rise in crime ?

The pandemic has led to economic hardship for many people, which has made them more likely to turn to crime. The pandemic has also disrupted social services and support networks, which has made it harder for people to get the help they need to avoid crime.

In recent years, there has been a movement to defund the police. This has led to a decrease in police presence in some communities, which has made it easier for criminals to operate.

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We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defence, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of america. According to the preamble which action represents an appropriate role for government

Answers

Answer:

Provide for the common defense

Answer:

Defending the country

Explanation:

The Preamble of the US Constitution spells out the objectives of the new state that was formed: 1- Justice, 2- Internal Tranquility, 3- Common Defense, 4- General Welfare, 5- Freedom. Thus, the Federal State should seek for its mechanisms to achieve these objectives.

Common defense a prominent factor in the preamble of the constitution, the goal through this factor was to defend the country, not only at that time, but over the generations. The preamble makes clear that the defense of the country was one of the main factors that guaranteed the creation of the state and the creation of legislation.

Alex determined that his average speed when he commuted to work is 35 miles per hour. What conversion factor can be used to convert this speed to feet per hour?

Answers

Answer:

1 mile = 5,280 feet

[tex]\dfrac{5,280ft}{1mile}[/tex]

Explanation:

So your case, since the given is already 35 miles per hour the only conversion that needs to be done to convert it into feet per hour would be the conversion of miles into feet.

[tex]\dfrac{35miles}{hr}\times \dfrac{5,280ft}{1mile}=\dfrac{184,800ft}{hr}[/tex]

Answer:

Explanation: I did the test :)

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