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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:

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Step-by-step explanation:

A playing field is Rectangular is shape, hence,

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Hence we input these values in the formula and we have:

334 = 2(47 + W + W)

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2 years ago
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Answer:

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Answer:

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