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Step2247 [10]
3 years ago
8

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

Mathematics
2 answers:
lozanna [386]3 years ago
5 0

Answer:

The axis of symmetry of the parabola with a vertex at (-3, 2) is at

x = -1/2

Step-by-step explanation:

Given a quadratic function (parabola) of the form:

y = ax² + bx + c

The axis of symmetry of the function is a vertical line that divides the parabola into two congruent halves. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.

This is given as x = -b/2a

We are given a parabola with vertex at (-3, 2). The quadratic function corresponding to this is

y = (x -(-3))(x - 2)

= (x + 3)(x - 2)

= x² - 2x + 3x - 6

y = x² + x - 6

Here, a = 1, b = 1, and c = -6

The axis of symmetry is at

x = -b/2a

= -1/2(1)

= -1/2

vladimir1956 [14]3 years ago
3 0

Answer:

x=-3

Step-by-step explanation:

If a parabola has a vertex at (h,k), the axis of symmetry is at the point, x=h.

That is, <u>the x-coordinate of the vertex of the given parabola is the axis of symmetry.</u>

Therefore, for a parabola with vertex (-3,2), the axis of symmetry is at x=-3

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mr_godi [17]

Answer:

Do you know the cylinder volume formula?Answer is: V=Pi*r^2*h Let me explain what that means. So the Pi is a constant number equal to 3.14..... and continue and this doesn't effect the volume while radius and height are the ones who do that.The volume is more effected by the radius because if both of them are a same number the radius would be greater than the height.

If r= 2 and h=2 than V=Pi*2^2*2 V=3.14*4*2

Step-by-step explanation:

Let me solve the problem!

a) r=3 h=10 than V=Pi*3^2*10 V=Pi*9*10 V=90Pi

When we increase the raduis by 1

b)r=4 h=10

V=Pi*4^2*10 so V=Pi*16*10 so V=160Pi

c)r=3 h=11

V=Pi*3^2*11 so V=Pi*9*11 so V=99Pi

It meas that when the radius is increased by 1inc the volume is greater than when you increase the height by 1.

Thank!

6 0
3 years ago
1. Write the ratio of the first measurement to the second: 8 ft. 4 in. to 6 in.
m_a_m_a [10]

Answer:

6:100 or 3:50

Step-by-step explanation:

8ft 4 in = 100 inches

3 0
3 years ago
the constant value which is repeatedly added to each term in an arithmetic sequence to obtain the next term​
Mariulka [41]

Answer:

<h2>This value is called the common difference</h2>

Step-by-step explanation:

The common difference is the constant value which is repeatedly added to each term in an arithmetic sequence to obtain the next term​, it is basically the difference between consecutive numbers

To find the common difference we can subtract the previous term from the first time or the second to the last term from the last term, the idea of finding the common difference is basically subtracting the previous term form the subsequent term.

7 0
4 years ago
HELP PLEASE!! I NEED HELP ASAP!
Alex73 [517]

Answer:

4. A

5. B

Step-by-step explanation:

4. I'll solve question four first:

The two marked points on the line are (-2, -3)&(2, 5). Using the formula to find slope(y2-y1/x2-x1), substitute in the points.

5--3/2--2 or 8/4;simplified to 2/1 or 2.

Now use point-slope form: y-y1 = m(x-x1)

y--3 = 2(x--2): Substitute in the values of y1, m, and x1.

y+3 = 2x + 4: Distribute.

y = 2x + 1: Subtract three from both sides.

5. Do the same for question 5.

The first point is (-4, 2), the second point is (4, -1).

-1-2/4--4; -3/8.

Now use point-slope form:

y-2 = -3/8x -12/8: Substitute in the values of x1, y1, m, and distribute the slope to the parentheses.

y = -3/8x + 1/2

7 0
3 years ago
AAAA PLSSSS HELPP!!! <br><br><br><br>No links pls and ty! &lt;33
emmasim [6.3K]

Answer:

18.8

Step-by-step explanation:

Hey there!

In order to find the solution to this question, we need to find the circumference

To find the circumference, you need to take the diameter and multiply it by 3.14 which is pi

In this case, the diameter is 6

6 x 3.14 is 18.84 so this means that the circumference of the circle, or in this case, a cookie, is 18.84

Also, it says to round to the tenth so our final answer will be 18.8

So the answer to this question is 18.8

3 0
2 years ago
Read 2 more answers
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