![Poohpooh6667](/avatars/38762.jpg)
Poohpooh6667
24.05.2021 •
Mathematics
Investigate EACH of the four parabolas below by graphing them all on one set of axes.
Describe everything you can about the parabolas, including any connections you notice between the rules and the graphs. In your description, you can refer to the equation by the letter in the table.
a.
y=x2+6
b.
y=−x2+6
c.
y=x2+5x+6
d.
y=x2−x−6
Relevant vocabulary that your answer may include: x-intercepts, y-intercept, vertex, and "opening up"/"opening down."
Solved
Show answers
More tips
- G Goods and services Is an Air Ionizer Necessary for Your Home?...
- C Construction and repair How to Choose the Best Underfloor Heating?...
- C Computers and Internet How to Get Rid of Windows Genuine Check?...
- C Computers and Internet War of Social Media: Which Platform is the Leader?...
- H Health and Medicine How to Treat the Flu: A Comprehensive Guide...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
Answers on questions: Mathematics
- M Mathematics How many solutions does the system have? y = x + 1 y = 2x - 5...
- M Mathematics All u have to do is 4 problems and just put if its a function or not and then justify ur answer the pics r below and ik the pics rnt in order but i need this answered...
- M Mathematics Solve the system by graphing. y = 1/2 x + 3/2 y = 2x -3...
- M Mathematics The first term in a geometric series is 4 while the second term in the series divided by the first term is 3. what is the sum of the first 10 terms in the series?...
- M Mathematics Arecipe calls for 6 cups of brown sugar for every 2 cups of white sugar. how many cups of brown sugar is required for every cup of white sugar...
- M Mathematics ((i) = 40 + 7 place the steps for finding f (x) in the correct order. i - 7 = 4y y - 7 = 41 3 - 4 = y 27 = y i = 4y + 7 y = 40 +7...
- M Mathematics Twice as many tickets were sold on saturday (6042) than on monday. how were sold on monday ?...
- M Mathematics Given the vertex of a quadratic is located at(4,-2) and another point on the same parabola is (-1,-77), write the equation of the quadratic in vertex form...
- M Mathematics Tom sawyer is painting a fence white. each fencepost is 5 inches wide and there s 3 feet of fence between each post. if there are 4 posts and the fence starts and...
- M Mathematics What is the total length of fencing? ?...
Ответ:
Please find the graphs of the parabola created with MS Excel
The descriptions are as follows, using the reference letter for each of the parabola
a. Parabola 'a' y = x² + 6
Does not intercept the x-axis
y-intercept is y = 6
The vertex is (6, 0)
Opens up
b. Parabola 'b' y = -x² + 6
x-intercepts are at ±√3
y-intercept is y = 6
The vertex is at (0, 6)
Opens down
c. Parabola 'c' x² + 5·x + 6
x-intercepts are at x = -2, and -3, (-2, 0), and (-3, 0)
y-intercept is y = 6, (0, 6)
The vertex of parabola 'c' is (-2.5, -0.25)
Opens up
d. Parabola 'd' x² - x - 6
x-intercept at x = -2 (-2, 0)
y-intercept is y = -6
The vertex of parabola is at (-0.5, 6.75)
Opens up
Step-by-step explanation:
a. Parabola 'a' y = x² + 6 does not have an x-intercept
The y-intercept of parabola a is y = 6
The vertex of parabola 'a' is at (6, 0)
Parabola 'a' opens up
b. Parabola 'b' y = -x² + 6 has an x-intercept at ±√3
The y-intercept of parabola b is y = 6
The vertex of parabola 'b'
At the vertex, x = -0/2 = 0
y = (0)² + 5×(0) + 6 = 6
The vertex of parabola 'b' is at (0, 6)
Parabola 'b' opens down
c. Parabola 'c' x² + 5·x + 6 has an x-intercept at x = -2, and -3
The y-intercept of parabola 'c' is y = 6
The vertex of parabola 'c'
At the vertex, x = -5/2 = -2.5
y = (-2.5)² + 5×(-2.5) + 6 = -0.25
The vertex of parabola 'c' is at (-2.5, -0.25)
Parabola 'c' opens up
d. Parabola 'd' y = x² - x - 6 has an x-intercept at x = -2
The y-intercept of parabola 'd' is y = -6
The vertex of parabola 'd'
At the vertex, x = -1/2 = -0.5
y = (-0.5)² - (-0.5) + 6 = 6.75
The vertex of parabola 'd' is at (-0.5, 6.75)
Parabola 'd' opens up
Ответ:
Plant A- or the purple line starts off with the highest cost.
-Steel jelly