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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

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Please someone do this for me
nlexa [21]

Answer:

A = -12

B = -8

C = -4

Step-by-step explanation:

y=2x-8

x = -2

y=2(-2)-8=-4-8=-12

A = -12

x = 0

y = 2 (0)-8=-8

B = -8

x = 2

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

C = -4

Hope this helps

8 0
2 years ago
What is the written form of the fraction 1/3 ? Patty stirred 1/3 cup of milk into the macaroni and cheese. A. one-third B. one t
yKpoI14uk [10]
One third is the written form.
Also, just a bit of extra information! The decimal of 1/3 is 0.33(recurring)

Rachel :)
3 0
3 years ago
Read 2 more answers
Use 3.14 for π<br> Please help if you can!<br> Any help is appreciated!
Alex777 [14]

Answer:

The answer to your question is 23.42 ft

Step-by-step explanation:

Data

base = 6 ft

height = 4 ft

Process

1.- Calculate the length of the rectangle. Only consider the base and the left and right sides.

Length = 6 + 4 + 4

Length = 14 ft

2.- Calculate the Perimeter of the semicircle

Formula

Perimeter = 2πr/2 = πr

-Calculate the radius

radius = 6/2 = 3 ft

-Find the perimeter

Perimeter = 2(3.14)(3)/2

-Result

Perimeter = 9.42 ft

3.- Calculate the perimeter of the window

Perimeter = 14 + 9.42

                 = 23.42 ft

3 0
3 years ago
A group of friends went to the movies. Movie tickets cost $8.50 each. One of the group bought some food for $6.50. The group spe
Liula [17]

Answer:

Equation: 8.5t+6.5=57.5

Solution: t=6

Step-by-step explanation:

Let be "t" the number of movie tickets bought by the group of friends.

According to the information given in the exercise, the price of each movie ticket is: $8.50.

Then, you can represent the amount (in dollars) the group of friends spent in movie tickets, with this expression:

8.5t

You know that one person spent $6.50, then the expression that represents the total amount (in dollars) the group of friends spent in food and movie tickets, is:

8.5t+6.5

Since that total amount spent is given in the exercise, you can write the following equation to determine how many tickets were bought:

8.5t+6.5=57.5

Finally, you can solve for "t" in order to find the solution of the equation. This is:

8.5t=57.5-6.5\\\\t=\frac{51}{8.5}\\\\t=6

3 0
3 years ago
Please answer ASAP! The Fergusons decided to book the room at the price that Mrs. Ferguson was given, $2075, because it included
Alex787 [66]
So what you should do is
15% off, then add tax or
2075 times 0.85 times 1.185=2090.04 about

you can't just add and subtract percents because they are percents of different things

what he did was
he found 15% of 2075 and 18.5% of 2075 then found the difference and added to 2075 to find his total

what he should have done is
found the discounted price (15% off) then found the tax on that


first way
2075 times 0.15=311.25
2075-311.25=1763.75
1763.75 times 0.185=326.29375
1763.75-326.29375=2090.04

2nd way (easy, if you understand commutative property and stuff)
100-15=85
1+0.185=1.185
2075*0.85*1.185=2090.04


answer should be $2090.04
7 0
3 years ago
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