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3 years ago

How do i do shifting form of a parabola

1 answer:

8 0

Parabolas can shift up and down or left to right
Parabolas shifting left and right uses the formula of y=(x-a)^2 where a determined the amount it shifts.
E.g. y=(x-3)^2 moves right three units but if it was a +3 instead of -3, it moves three units to the left.
When parabolas move up or down, it uses y=mx^2+b (where b determines the amount it shifts)
If it is +10 , it moves ten units above but if it is -10 it moves ten units down

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Which expressions are equivalent to 5(-2k-3)+2k

bulgar [2K]

Answer:

-8k - 15

Step-by-step explanation:

5(-2k-3)+2k

At first, we will break the parenthesis. To break that, we will multiply the value inside the parenthesis by the adjacent number, that is 5. Again, we have to consider the Algebraic operation (Golden rule) -

[(-) x (-) = (+); (+) x (-) = (-)]

Therefore, since there is a minus sign in each of the value inside the parenthesis, the result will be minus as 5 is a positive integer.

or, -5*(2k) - (5*3) + 2k

or, -10k - 15 + 2k

or, -8k - 15 (after the deduction)

The answer is = -8k - 15

6 0

3 years ago

Question<br> (X-5y/y3)-1=

Ilia_Sergeevich [38]

Answer:

$x = y^3+5y$

Step-by-step explanation:

Complete question

$\frac{x - 5y}{y^3} - 1=0\\$

Required

Solve for x

We have:

$\frac{x - 5y}{y^3} - 1=0$

Collect like terms

$\frac{x - 5y}{y^3} = 1$

Multiply through by $y^3$

$x - 5y = y^3$

Make x the subject

$x = y^3+5y$

8 0

2 years ago

Given RT below, if S lies on RT such that the ratio of RS to ST is 3:1, find the coordinates of S.

Ksivusya [100]

Answer:

S(-2, -3)

Step-by-step explanation:

Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;

S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;

x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1

Substitute the values into the formula;

X = ax2+bx1/a+b

X = 3(-1)+1(-5)/3+1

X = -3-5/4

X = -8/4

X = -2

Similarly;

Y = ay2+by1/a+b

Y = 3(-5)+1(3)/3+1

Y = -15+3/4

Y = -12/4

Y = -3

Hence the coordinate of the point (X, Y) is (-2, -3)

5 0

3 years ago

What is the probability that a randomly selected senator is a Democrat or is up for reelection in November 2014? (Enter your pro

Vesna [10]

Answer: 20/33

Step-by-step explanation:

According to the table of statistics given for the politicians

number of Dem. Senator = 20

number of Rep. Senator = 13

Total for Senators = 33

Let E be the event,

The required probability is:

P(E) = P(Dem)

= 20/33

3 0

3 years ago

What is the number of rolls of paper used per wall

Black_prince [1.1K]

Sizes? Of the wall and paper?

5 0

3 years ago