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2 years ago

The function y = |x + 5| is vertically compressed. Which of the following could represent the new function?

Mathematics

1 answer:

user100 [1]2 years ago

7 0

Answer:

-5

Step-by-step explanation:

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Joey has 5 collector stamps.He receives 3 more stamps each week that he completes community service hours.X=the number of weeks

kirza4 [7]

Answer:

Therefore the required equation is

Y=5+3X

Step-by-step explanation:

Given that , Joey has 5 collector stamps.

He gets 3 more stamps each week.

The number of week is X.

1st week he got 3 stamps

2nd week he got (3+3)=2.3 stamps

3rd week he got (3+3+3)=3.3 stamps

Stamp that he got=( the number of week ×3)

Therefore at end of Xth week he got =(X × 3) =3X stamps

Total number of stamps that collected after x week

=5+3X

Therefore the required equation is

Y=5+3X

6 0

3 years ago

A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

$y= \frac{ x^{2} }{2} -2x+1$

7 0

3 years ago

Help ASAP if you want brainliest, five stars, thanks, and friends list.

Anettt [7]

Answer:

Bro all of them are correct

Step-by-step explanation:

7 0

2 years ago

Please help! 50 points!

german

Answer:

12 units right

17 1/2 units up

Step-by-step explanation:

6 0

2 years ago

What is 8 1/2 x 3 = <br>please help

ludmilkaskok [199]

Answer:

Step-by-step explanation:

Convert 8 1/2 to 17/2 and this multiplied by 3 is 51/2. Convert it back to mixed fraction to get 25 1/2.

4 0

2 years ago