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
Zinaida [17]
3 years ago
9

The vertex form of the equation of a parabola is y = 2(x + 3)2 - 5. What is the standard form of the equation?

Mathematics
2 answers:
svet-max [94.6K]3 years ago
7 0
Hello : 
<span>y = 2(x + 3)² - 5
y = 2(x²+6x+9) -5
y = 2x² +12x +13...(answer : </span><span>A) y=2x^2+12x+13 )</span>
Rufina [12.5K]3 years ago
7 0

Answer:

Option (a) is correct.

The standard form the equation y=2(x+3)^2-5 isy=2x^2+12x+13

Step-by-step explanation:

Given : the vertex form of the  equation of a parabola is y=2(x+3)^2-5

We have to write the given equation in standard form and choose the correct from the given options.

Consider the given equation of parabola y=2(x+3)^2-5

The standard form of equation of parabola is y=ax^2+bx+c

We can obtain the standard form by expanding the square term in the given equation.

Using algebraic identity (a+b)^2=a^2+b^2+2ab, we have,

\Rightarrow y=2(x+3)^2-5

\Rightarrow y=2(x^2+3^2+6x)-5

Solving brackets, we get,

\Rightarrow y=2x^2+18+12x-5

Simplify, we get,

\Rightarrow y=2x^2+12x+13

Thus, The standard form the equation y=2(x+3)^2-5 isy=2x^2+12x+13

You might be interested in
Imagine a population of birds with an initial size of 100, a per-capita birth rate of 2, and a per-capita death rate of 1 per ye
Soloha48 [4]

Answer:

3200

Step-by-step explanation:

Given that:

The initial population of birds N_0 = 100

The time duration t = 5 years

Growth rate (r) = (Birth - Death) rate

= 2 - 1

= 1 / year

∴

using the discrete-time form:

N_t = N_o (1 + r )^t

N_t = 100 (1 + 1 )^5

N_t = 100 (2 )^5

N_t = 100 \times 32

N_t = 3200

8 0
2 years ago
Find the equation of this line.<br>HELP​
Mumz [18]

Answer:

Step-by-step explanation:

(5,4) ;  (-3, -2)

Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-2-4}{-3-5}\\\\=\frac{-6}{-8}\\\\=\frac{3}{4}

(5,4) & m = (3/4)

y -y1 = m(x-x1)

y - 4 = (3/4)(x - 5)

y-4=\frac{3}{4}x-\frac{3}{4}*5\\\\y-4=\frac{3}{4}x-\frac{15}{4}\\\\y=\frac{3}{4}x-\frac{15}{4}+4\\\\y=\frac{3}{4}x-\frac{15}{4}+\frac{4*4}{1*4}\\\\y=\frac{3}{4}x-\frac{15}{4}+\frac{16}{4}\\\\y=\frac{3}{4}x+\frac{1}{4}

7 0
3 years ago
1) A business man gives N18 000,00 to his three children
pashok25 [27]

Answer: The least share is N450000

Step-by-step explanation:

Given that :

Amount shared = N18 00000

Sharing ratio = 5:4:3

Amount shared by each child :

Total ratio = (5 + 4 + 3 )= 12

First share :

(5 / 12) × 1800000 = 750000

Second share :

(4/12) × 1800000 = 600000

Third share:

(3/12) × 1800000 = 450000

The least amount of the three shares is :

N450000

4 0
3 years ago
X-1/2*1/8=1/8 Find the value of x.
MA_775_DIABLO [31]

Answer:

x = 3 / 16

Step-by-step explanation:

Simplify first:

x - 1 / 16 = 1 / 8

x = 3 / 16

7 0
2 years ago
Write an equation in slope-intercept form for this line.
sineoko [7]

Answer:

y = \frac{3}{2} x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = \frac{3}{2} , then

y = \frac{3}{2} x + c ← is the partial equation

To find c substitute (- 4, - 7 ) into the partial equation

- 7 = - 6 + c ⇒ c = - 7 + 6 = - 1

y = \frac{3}{2} x - 1 ← equation of line

7 0
2 years ago
Other questions:
  • What is the equation of the graph? y=−43x+3 y=3x+43 y=−3x−43 y=43x+3
    8·1 answer
  • whitney is training to ride her bicycle in a big race. The table below shows hiw many miles she rides each day of one week​
    5·1 answer
  • My index finger is 3.2in long... so in cm is it 8.128cm?
    9·2 answers
  • What 6x3 and 3x6 thankkkkkkkkkkkkkkkkk
    15·2 answers
  • 1. What does this quote mean to you?
    9·2 answers
  • Can a triangle have side lengths of 12 feet, 6 feet, 3 feet? HURRY PLZ!!?
    11·2 answers
  • While hiking, Diego drank 2¼ liters of water. Lin drank 1⅗ liters of water. How much more did Diego drink than Lin?
    15·2 answers
  • Help asap please
    13·2 answers
  • A cell phone is on sale for 30% off. If the sale price is $239.89, what is the original price? Write an equation and solve to fi
    5·1 answer
  • The following data set is given: 122, 130, 145, 154, 165, 178
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!