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3 years ago

Y=2x^2+12x+14 in vertex form

Mathematics

1 answer:

balandron [24]3 years ago

4 0

Answer:

y = 2(x + 3)² - 4

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

Using the method of completing the square

y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms

= 2(x² + 6x) + 14

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

y = 2(x² + 2(3)x + 9 - 9 ) + 14

= 2(x + 3)² - 18 + 14

= 2(x + 3)² - 4 ← in vertex form

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(8/5x² -2/3x³ +3/2x -1) - [ x/5x -3/2x² +2/3x +1/4]

tia_tia [17]

Answer:

Step-by-step explanation:

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4 years ago

The midpoint of AB is M (2,0). If the coordinates of A are, (-3, 3), what are the coordinates of B?

gregori [183]

Given:

M is the midpoint of AB.

M(2,0) and A(-3, 3).

To find:

The coordinates of point B.

Solution:

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get

$(2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)$

On comparing both sides, we get

$\dfrac{-3+a}{2}=2$

$-3+a=2\times 2$

$a=4+3$

$a=7$

And,

$\dfrac{3+b}{2}=0$

$3+b=0$

$3+b-3=0-3$

$b=-3$

Therefore, the coordinates of point B are (7,-3).

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3 years ago

Ted likes to run long distances. He can run 20 km in 95 minutes.He wants to know how many kilometers he will go if he runs the s

gladu [14]

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He will run 60km

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3 years ago

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What is the slope of (8,10), (-7,14)

Murrr4er [49]

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:
−4/15

Decimal Form:
−0.26

Basically do
y2-y1 divided by x2-x1
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which equals -4/15

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3 years ago