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3 years ago

Which equation is y = 2x2 – 8x + 9 rewritten in vertex form?

Mathematics

1 answer:

-BARSIC- [3]3 years ago

8 0

Answer:

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

To obtain this form use the method of completing the square

Given

y = 2x² - 8x + 9

The coefficient of the x² term must be 1, so factor out 2 from 2x² - 8x

y = 2(x² - 4x) + 9

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² - 4x

y = 2(x² + (- 2)x + 4 - 4) + 9

= 2(x - 2)² - 8 + 9

= 2(x - 2)² + 1 → C

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Verizon [17]

Answer:

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3 years ago

The point (3,-2) is rotated 90º counterclockwise about the origin and then dilated by a scale factor of 4. What are the coordina

Nezavi [6.7K]

Answer:

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Step-by-step explanation:

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2 years ago

Express in exponential form. log2(x)=3

igomit [66]

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In order to rewrite logarithms, we need to understand the basic fundamentals of them:
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3 years ago

Traveling math word problem - thank you! :)

Anni [7]

We are given:

car and train leave at the same time

average velocity of car = 50 miles/hour

average velocity of train = 70 miles/hour

train arrives 2 hours early

Assuming variables and making equations!

let the time taken by the train = t hours

since the car arrived late, it took more time as compared to the train

time taken by the car = t + 2 hours

since the distance from Pasadena to Sacramento doesn't change, both the vehicles covered the same distance, d

Distance travelled by the car:

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d = 50(t+2) miles

rewriting in terms of t

$t = \frac{d-100}{50}$

Distance travelled by the train:

d = 70 $\frac{miles}{hour}$ * t hours

d = 70t miles

rewriting in terms of t

$t = \frac{d}{70}$

now we have two expressions for t, both of which are equal because t is just the time taken by the train

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$t = \frac{d-100}{50}$

$t = \frac{d}{70}$

because t is the same:

$\frac{d-100}{50} = \frac{d}{70}$

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2 years ago

Helppp will give brainless 35points

Ugo [173]

Answer:

$\boxed{question \: number \: \to 6} \\ \boxed{ w = 72} \\ \boxed{ x =144 } \\ \boxed{ y = 108}$

Step-by-step explanation:

$y + w + y + w = 360 \to \sum \: of \: angles \\ y = \: \boxed{opp \: y} \to \: vertically \: opposite \: angles \: are \: equal \\ w = \: \boxed{opp \: w} \to \: the \: same \: reason \: as \: y\\ hence \to \\ 2(w+ y) = 360 \\ w + y = 180 \\ but \: 5w = 360 \to \: angles \: at \: a \: point \\ w = \frac{360}{5} \\ \boxed{w = 72} \\ therefore \to \\ w + y = 180 \\ 72 + y = 180 \\ y = 180 - 72 \\ \boxed{ y = 108} \\ hence \: \boxed{x} \: is \: given \: by \to \\y + x + y = 360 \to \: angles \: at \: a \: point \\108 + x + 108 = 360 \\ x = 360 - 216 \\ \boxed{ x = 144}$

♨Rage♨............You can also ask me the other questions separatly ........cos i cant cover all in this one.♨

6 0

3 years ago

Read 2 more answers