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frosja888 [35]
3 years ago
14

For the graph of the function, identify the axis of symmetry, vertex and the formula for the function.

Mathematics
1 answer:
snow_tiger [21]3 years ago
7 0
We know that this is a parabola, as the equation is denoted by the x^2 term.

We can see that the symmetry is seen at the point -0.5, therefore making the axis of symmetry the vertical line -0.5.

The vertex is found in quadrant three. In other words, it will shift by a negative value both horizontally and vertically. The vertex is therefore (-0.5, -0.5).

We can verify this in the equations by using the formula (-b/2a) to find the vertex. The only quadratic equation that satisfies this is -2x^2 + 2x -1.

To sum it up, the answers are:

-2x^2 + 2x - 1.

AoS: x = -0.5

Vertex: (-0.5, -0.5).
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What is the vertex and axis of symmetry for y=4x^2-12x+9?
VLD [36.1K]

Answer:

axis of symmetry   x=3/2

vertex  (3/2, 0)

Step-by-step explanation:

to find the axis of symmetry we use h = -b/2a

where ax^2 + bx+c


h = -(-12)/2(4)

h= 12/8

h = 3/2

the axis of symmetry is x = 3/2

the x coordinate of the vertex is h x=3/2

to find k, the y coordinate of the vertex, substitute x=3/2 into the equation

y=4x^2-12x+9

y=4(3/2) ^2-12(3/2)+9

 = 4 (9/4)  - 6*3 +9

  = 9-18+9

  = 0


the vertex (3/2, 0)

4 0
3 years ago
Which of the following arithmetic sequences have a common difference of ? -4,-1.5,1,3.5,6,8.5 1.5,3,4.5,6,7.5
zavuch27 [327]
F(x+1) = f(x) + 2.5 with f(x) is the current number.
7 0
3 years ago
Which table represents a linear function?
Brrunno [24]

Answer:

Table C is the answer

Step-by-step explanation:

4 0
3 years ago
suppose that a set of scores has a mean of 5 and standard deviation of 2. what score corresponds to a z score of -2.0?
anzhelika [568]

The set of scores has a mean of 5 and a standard deviation of 2. The score which corresponds to a z score of -2.0 is 1.

Given in the question,

Mean (m) = 5

Standard deviation σ =2

Z-score = -2

The score x,

= Z = x - m / σ

= -2 = x - 5 / 2

= -4 = x - 5

= x = 1

Standard deviation in statistics means the amount of dispersion or variations in the set of values. A lower standard deviation means the value is closer to the mean while a higher standard deviation means the value is farther away from the mean.

To learn more about standard deviation, mean, median, and mode,

brainly.com/question/27878918

#SPJ4

5 0
1 year ago
The table shows the time 50 students spent on their homework.
seraphim [82]

Answer: Mean = 52.8 mins

Step-by-step explanation:

We have lapses of 30 minutes, so we can write the average for each, this means that:

0 < t < 30 can be averaged to the middle of the range: 15 min.

Doing this, we have that:

7 students 15 min

27 students 45 min

12 students 75 min

4 students 105 min.

Now we can calculate the mean:

mean = (x1*n1 + x2*n2 + ...)/N

where x1 is the amount of time 1, and n1 is the number of students associated to that time and so on. N is the total number of students

Mean = (7*15min + 27*45min + 12*75min + 4*105min)/(7 + 27 + 12 + 4)

Mean = 52.8 mins

8 0
3 years ago
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