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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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Answer:

<u>Identities used:</u>

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  • <em>1/sinθ = cosecθ</em>
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<h3>Question 1 </h3>
  • (1 - sinθ)/(1 + sinθ) =        
  • (1 - sinθ)(1 - sinθ) / (1 - sinθ)(1 + sinθ) =
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<u>Square root of it is:</u>

  • (1 - sinθ)/ cosθ =
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<h3>Question 2 </h3>

<u>The first part without root:</u>

  • (1 + cosθ) / (1 - cosθ) =
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Free_Kalibri [48]

The right answer is Option D.

Step-by-step explanation:

Given equations are;

2x+4y=3    Eqn 1

x+3y=13    Eqn 2

When we use subtraction-addition method, we make one of the variables same with opposite signs so that only one variable remains after addition or subtraction.

In the given problem, we will multiply Eqn 2 with "-2" so that the x variables become equal and then we can add both the equations and solve for y.

Therefore,

The first step will be to multiply the second equation by -2 to solve the linear system of equations.

The right answer is Option D.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/8902155
  • brainly.com/question/8955867

#LearnwithBrainly

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