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nasty-shy [4]
2 years ago
14

What key features of a quadratic graph can be identified and how are the graphs affected when constants or coefficients are adde

d to the parent quadratic equations? Compare the translations to the graph of linear function. Create examples of your own to explain the differences and similarities.
Mathematics
1 answer:
leonid [27]2 years ago
7 0

The key features of a quadratic graph that can identified are; x and y intercepts, axis of symmetry and vertex

<h3>Keys features of a quadratic graph</h3>

The key features are the x-intercepts, y-intercepts, axis of symmetry, and the vertex.

If we add units we can move this function upwards, downwards leftwards and rightwards.

  • If we add a positive number to the x-variable, then the graph will move to the left.
  • If we add a negative number to the x-variable, then the graph will move to the right.
  • If we add a positive number to y-variable, then the graph will move upwards.
  • If we add a negative number to y-variable, then the graph will move downwards.

Hence, if we compare the rules we use before with linear function, there's no distinction between horizontal and vertical movements, because if we add to x-variable, then y-variable will be also affected.

Learn more about quadratic graphs here:

brainly.com/question/1214333

#SPJ1

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The radius of a circle is 14 meters. What is the circle circumference
seropon [69]

Step-by-step explanation:

HERE,

redius of a circle (r)=14 meters.

we know that,

\boxed{\red{\sf{circle~ circumference=2\times \pi \times r   }}} 

<u>According</u><u> </u><u>to</u><u> </u><u>the question</u><u>, </u>

circle circumference=

  • \tt{2\times \pi \times 14   }

      

  • \tt{2 \times \dfrac{22}{7} \times 14   }  

    

  • \tt{2 \times \dfrac{22}{\cancel{7}} \times \cancel{14}}    

  

  • \tt{2\times 22 \times 2   }   

   

  • \tt{ 88~meters   }      

so, the circumference of that circle is <em><u>8</u></em><em><u>8</u></em><em><u> </u></em><em><u>meters</u></em><em><u>.</u></em>

5 0
2 years ago
A bag contains yellow marbles and red marbles, 23 in total. The number of yellow marbles is 4 less than 2 times the number of re
Orlov [11]
First let’s express the total number of marbles as such:
y(yellow marbles) + r(red marbles)=23; y+r=23

now let’s express the relation of yellow marbles to red marbles:
y=2r(2 times red marbles) - 4(4 less marbles); y=2r-4

since we figured out what y equals, we can plug into the first equation we created:
(2r-4)+r=23

now solve for r:
2r-4+r=23
combine like terms
3r-4=23
add 4 to both sides
3r=27
divide both side by 3
r=9

plug r back into first equation and solve for y:
y+9=23
subtract 9
y=14

there are 9 red marbles and 14 yellow marbles!


3 0
3 years ago
Write the trinomial as a square of a binomial.<br><br> x²+2xy+y^2
Minchanka [31]
The answer is (x+y)^2
Hope this helps!!

7 0
2 years ago
It takes John 54 minutes to paint a fence with a length of 12 meters. On average, how long did he take to paint 1 meter of the f
seraphim [82]

Answer:

4.5

Step-by-step explanation:

I think it will work if you Divide 54 over 12 = 4.5

5 0
2 years ago
I don't understand this, someone please help me
Ierofanga [76]

Answer:

  the distance between the points is about 9.2 units

Step-by-step explanation:

It is well you should not understand it. <em>No question is asked</em>.

__

The answer choices suggest you are to find the distance between the two points. There is only one choice in a reasonable range: 9.2 units.

Each point is more than 2 units from any axis, so 2 units is clearly not the answer. The size of the graph is much less than 81 units, so clearly that is not the answer.

The difference of coordinates in the x-direction is 6; in the y-direction the difference is 7 units. The distance between the points will be more than the longest of these (7) and less than about 1.5 times that (10.5). Only one choice is in this range: 9.2 units.

__

The Pythagorean theorem is used to calculate the distance between points. The distance is considered to be the hypotenuse of a right triangle with legs of lengths equal to the differences of coordinates. Here, that means the distance (d) is ...

  d² = 6² + 7² = 36 +49 = 85

  d = √85 ≈ 9.2 . . . . grid squares, or "units"

4 0
3 years ago
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