Write the equation of the parabola in vertex form.
vertex (3,3), point (1, -9)
f(x) =
Can someone help me ASAP??

Answers

Answer 1

Answer: -9 = a(1 - 3)² + 3

Step-by-step explanation:

Vertex Form Equation:

y = a(x - h)² + k

vertex: (h, k) which means

h = 3

k = 3

because your vertex is (3, 3).

Your point is (1, -9) which is (x, y).

This means

x = 1

y = -9

Now, plug everything into your Vertex Form Equation:

-9 = a(1 - 3)² + 3

That’s your equation and final answer, but of course, if you need to, you can solve for a if you need to.

If a is positive, the parabola opens up. If a is negative, the parabola opens down.

Hope this helps!


Related Questions

What is the slope of the line that passes through the points (4, 6) and
(-16, -18)?

Answers

Answer:

-3 / 5

Step-by-step explanation:

18-6 / -16-4

12 / -16-4

12 / -20

-3 / 5

Solve the system of equations using substitution.
- 4x + 4y= 8
y= -2x – 10
-
O (4, -18)
O (12, -34)
o(-4,-2)
O (-2,-6)

Answers

The answer is (-4,-2) .

You substitute the value of Y
solve the equation then substitute
the value of X, then again Slove

Answer:

(- 4, - 2 )

Step-by-step explanation:

Given the 2 equations

- 4x + 4y = 8 → (1)

y = - 2x - 10 → (2)

Substitute y = - 2x - 10 into (1)

- 4x + 4(- 2x - 10) = 8 ← distribute and simplify left side

- 4x - 8x - 40 = 8

- 12x - 40 = 8 ( add 40 to both sides )

- 12x = 48 ( divide both sides by - 12 )

x = - 4

Substitute x = - 4 into (2) for corresponding value of y

y = - 2(- 4) - 10 = 8 - 10 = - 2

Solution is (- 4, - 2 )

please help 8(10+8)​

Answers

Answer:

its 180.... that's the answer

Answer:

it is 80 + 64

Step-by-step explanation:

All you have to do is multiply 8 by the numbers inside the parenthesis

Does anyone know this!? Pick the one the correctly describes it!
If its correct ill mark you as the best answer!

Answers

Answer:

d- the slope is undefined

Step-by-step explanation:

Simplify (1/2)^4.......................................................................

Answers

Answer:

[tex]-1/16[/tex]

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

(1/2 × 1/2 × 1/2 × 1×2)

(1/4 × 1/4)

(1/16)

which posture or theorem proves that these two triangles are congruent

ASA Congruence
AAS Congruence Theorem
HL Congruence Theorem
SAS Congruence postulate ​

Answers

Answer:

AAS Congruence Theorem

Please help me :( someone anybody just once I won’t ask again

Answers

Answer:

1) 77

2) -11

3) -11

4) 7

5) 29

Step-by-step explanation:

Just sub the x into the equation.

*I recommend checking my answers, but this is what I would put/

Plz help I don’t get what this is

Answers

Answer:

A) 98.94 sq. meters

B) 42 sq. meters

Step-by-step explanation:

A) So first we calculate the area for the square which is 15*20 = 300. Then we calculate the area of the circle which is pi*r^2 and in this case the radius is 4 which is 1/2 of 8. The area is approx. 201.06. Then we subtract that from 300. 300-201.06 = 98.94. The answer for A) is approx. 98.94

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

B)First we calculate the area of the whole square which is 8*6 = 48. Then the area of the garden which is 2*3 = 6. 48-6 = 42. The answer is B) is 42 then.  

5.6 divided by 7

A:8
B:7
C.8
D.7
Other:

Answers

Answer:

C

Step-by-step explanation:

Dude, just look it up.

Which list shows the absolute values in order form least to greatest?

Answers

I believe the answer is D

Please help me find the domain and range

Answers

Answer:

Domain: (-∞,-1) U (-1,∞)

Range: (-∞,1) U (0,∞)

x+6y=-36 solve for y​

Answers

Answer:

y=−1/6x−6

Step-by-step explanation:

brainliest and 60 points ;)

8 * 65 * 7 * 321 * 0 * 1=??

Answers

Answer: 0

Step-by-step explanation:

Any expression multiplied by 0 = 0

the population of China is about 1.4 x 10 ^ 9 people. Julie grew up in a town with a population of about 7,000 people. How many times greater is the population of China than Julies town? Please answer this in scientific notation​

Answers

Answer:

200000

Step-by-step explanation:

I believe that 200000x7000 = 1400000000 (The answer to the China population equation), therefore should be correct. Hope this helped.

values of x and y
to
135°

Answers

Step-by-step explanation:

Answer:

xy/100=135

xy=13500

x=13500/y

What is the value of x

Answers

Answer:

98 degrees

Step-by-step explanation:

First calculate the entire triangles angles:

180 - 53 - 45 = final angle of triangle

82 = final angle of triangle

Using the straight line rule for angles, x and the inner angle must equal to 180 degrees:

180 - 82 = x

98 = x

Angle x is 98 degrees.

264 equals the sum of 96 and t
Write the sentence as an equation.

Answers

Answer:

96+t=264

Step-by-step explanation:

ANSWER: t+96=264
No explanation needed!


Jenni works at a salon and earns a 15% commission on her total sales. How much
must she sell in total in order to earn $90 in one day?

Answers

Answer:

$600

Step-by-step explanation:

90/0.15

please help me with this! thank you so much!

Answers

Answer: Look at the photo

Step-by-step explanation:

[tex](3x + 3) + (4x + 2) = 180\\7x + 5 = 180\\[/tex]

Substract 5 from both sides

[tex]7x = 175[/tex]

Divide by 7 from both sides

x = 25

(3x+3) = (4x+2)
-3x -3x
3=1x+2
-2 -2
1=x
That’s how you get x
3•1 +3 = 6

4•1 + 2 =6
I’m pretty sure that’s right it’s been a minute

Consider a geometric sequence with a first term of 4 and a fourth term of -2.916.
a) Find the common ratio of this sequence.
b) Find the sum to infinity of this sequence.

Answers

Answer:

a) Find the common ratio of this sequence.

Answer: -0.82

b) Find the sum to infinity of this sequence.

Answer: 2.2

Step-by-step explanation:

nth term in geometric series is given by [tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82[/tex]

where

a is the first term

r is the common ratio and

n is the nth term

_________________________________

given

a = 4

4th term = -2.196

let

common ratio of this sequence. be r

[tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82[/tex]

a) Find the common ratio of this sequence.

answer: -0.82

sum of infinity of geometric sequence is given by = a/(1-r)

thus,

sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2

What is x equal to? And what is the scale factor?

Answers

Answer:

1. 225 km

2. 95 km

3. 412.5 km

Step-by-step explanation:

For this one, it is saying that for every 2 cm, that is 50 km. So if you look at 9 cm, you can divide that by 2 cm to get 4.5 cm, this is what you can multiply by 50 km to get 225. Or you can look at it this way, for every 1 cm, the actual distance is 25 km. Then you can multiply each value by 25 to get your answer. Whichever one works for you.

Solve for c.

2c^2 = 338

c = ?
c = ?

Answers

Answer:

C=13, -13

Have a wonderful day!!!

Help me please !!!!!!!!

Answers

Answer: Since x is 157 degrees the missing value,m, is 23 degrees because a line is 180 degrees, n is also 23 degrees so it would be the same

Step-by-step explanation:

What is the y-intercept in this problem?

Answers

Answer:

(0, -1) I think

Step-by-step explanation:

I have not done this in a while

Hope this helps, though.

The y-intercept is -1

Tara buys clay in a tube that is 2 feet long.
She is making clay fl owers and each fl ower
requires __
3
4 foot of clay. How many whole
fl owers can Tara make from the tube of
clay? Tara used the following model to
help her solve the problem.

Answers

The dad said that he had to go back for the first time so he can take him ufci

I want the answer PLZ

Answers

Answer:

3

Step-by-step explanation:

They have the same side length and its shown

-8(s+4) = -60

What is the value of s?

Answers

Answer:

s = 3.5

Step-by-step explanation:

Lets begin by distributing -8 into the two values in the paranthesis, s and +4. By doing this, we get -8s -32 = -60

We can now take that -32 and bring it to the right side of the equation, making it now -8s = +32 -60

After simplyfing, we now have -8s = -28. Dividing -28 by -8 , we get positive 3.5.

How do you work out 3^2+2^3 indices

Answers

3^2 +2^3

9+2^3

9+8

Answer : 17

A scale drawing of an office space uses a scale of 1 in. : 4 yd. The scale drawing has an area of 12 square inches. What is the area of the actual office space?

Answers

Answer: 48 yards

Step-by-step explanation:

From the question, we are informed that a scale drawing of an office space uses a scale of 1 in. : 4 yd.

When the scale drawing has an area of 12 square inches, to get the area of the actual office space, we multiply the given number by 4 since the actual office space is 4× the scale drawing. This will be:

= 12 × 4 yards

= 48 yards

Simplify 4/9 - 5/12 + 1/4

Answers

Answer:

5/18

Step-by-step explanation:

The simplified answer is 5/18

Step-by-step explanation:

the answer is

0.27777777777

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