1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dmitriy789 [7]
3 years ago
5

The vertex of this parabola is at (2, -4). When the y-value is -1, the x-value is 3. What is the coefficient of the squared term

in the parabola's equation?
Mathematics
1 answer:
rjkz [21]3 years ago
5 0

Answer:

3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, - 4) , thus

y = a(x - 2)² - 4

To find a substitute (3, - 1 ) into the equation

- 1 = a(3 - 2)² - 4 ( add 4 to both sides )

3 = a

Thus

y = 3(x - 2)2 - 4 ← equation in vertex form

   = 3(x² - 4x + 4) + 4

    = 3x² - 12x + 12 + 4

     = 3x² - 12x + 16 ← equation in standard form

with coefficient of x² term = 3

You might be interested in
NEED HELP ASAP 70 POINTS
Vera_Pavlovna [14]

Look at the picture.

We have the similar triangles (AAA). Therefore the lengths of the sides are in proportion:

\dfrac{x}{8}=\dfrac{15}{5}

\dfrac{x}{8}=3           <em>multiply both sides by 8</em>

\boxed{x=24\ in}

7 0
3 years ago
Read 2 more answers
Mrs. Garcia’s students were asked to find 220% of 75. Each of the students had a different method.
aliya0001 [1]

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

7 0
3 years ago
Read 2 more answers
The library is 5 miles from the post office. How many yards is 5 miles?
gtnhenbr [62]

Answer:

8800 yards.

Step-by-step explanation:

To convert miles to yards, you must multiply the amount of miles by 1760.

Because there are 5 miles, multiply 5 by 1760.

5(1760)=8800

6 0
3 years ago
Read 2 more answers
For a group of 70 people, assuming that each person is equally likely to have a birthday on each of 365 days in the year, comput
ch4aika [34]

Answer:

0.0157

Step-by-step explanation:

From the information given:

The sample size  = 70

The expected no. of days of year that are birthday of exactly 4 people is:P = \bigg [ \dfrac{1}{365} \bigg]^4

The expected number of days with 4 birthdays = \sum \limits ^{365}_{i=1}  E(x_i)

\sum \limits ^{365}_{i=1}  E(x_i) = 365 \times \bigg[  \ ^{70}C_{4} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{70-4} \bigg]

\sum \limits ^{365}_{i=1}  E(x_i) = 365 \times \bigg[  \ \dfrac{70!}{4!(70-4)!} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{66} \bigg]

\sum \limits ^{365}_{i=1}  E(x_i) = 365 \times \bigg[  \ 916895 \times 5.6342 \times 10^{-11} \times 0.8343768898 \bigg]

= 0.0157

Therefore, the required probability = 0.0157

8 0
3 years ago
4 years is what fraction of a century?
mel-nik [20]
Answer: 0.04, and as a fraction is 1/25
5 0
3 years ago
Other questions:
  • While Playing Yahtzee and rolling 5 dice, Mei gets the result shown at right (the numbers are 2, 4, 4, 4, and 1). Mei decides to
    14·1 answer
  • Maria want to make a footstool in the shape of a cylinder, as show below. She wants to fill the footstool with foam and cover it
    9·1 answer
  • Solve to following equation for x: 6(4x +5) = 3(x + 8) +3
    9·1 answer
  • Enter the number in scientific notation.<br> 4,470,000 =
    5·2 answers
  • Type the correct answer in the box. Jason builds doghouses for a pet store. Each doghouse is a wooden structure with a rectangul
    13·2 answers
  • <img src="https://tex.z-dn.net/?f=32%20-%2010%20%3D%2024y" id="TexFormula1" title="32 - 10 = 24y" alt="32 - 10 = 24y" align="abs
    8·1 answer
  • Which of the following is a segment congruent to GJ¯¯¯¯¯ ?
    14·1 answer
  • For one English test jason correctly answered 22 questions these correct answers gave him a percent score of 50% In total how ma
    12·1 answer
  • Which inequality represents this sentence?
    9·2 answers
  • 1
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!