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2 years ago

How was pre-image WXYZ transformed to create image W’ X’ Y’ Z’

Mathematics

1 answer:

Afina-wow [57]2 years ago

5 0

Answer:

translation up

Step-by-step explanation:

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Match the equations representing parabolas with their directrixes. y + 8 = 3(x + 2)2 y − 14 = -(x − 3)2 y + 7.5 = 2(x + 2.5)2 y

Shkiper50 [21]

Answer:

Part 1) $y+8=3(x+2)^{2}$ -----> $y=-8.08$

Part 2) $y-14=-(x-3)^{2}$ ----> $y=14.25$

Part 3) $y+7.5=2(x+2.5)^{2}$ ----> $y=-7.625$

Part 4) $y-17=-(x-3)^{2}$ -----> $y=17.25$

Part 5) $y+7=(x-4)^{2}$ ----> $y=-7.25$

Part 6) $y-6=-(x-1)^{2}$ ----> $y=6.25$

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

$y-k=\frac{1}{4p}(x-h)^{2}$

where

(h,k) is the vertex

The directrix is

$y=k-p$

case 1) we have

$y+8=3(x+2)^{2}$

the vertex is the point (-2,-8)

$\frac{1}{4p}=3$

$p=\frac{1}{12}$

The directrix is equal to

$y=-8-\frac{1}{12}=-8.08$

case 2) we have

$y-14=-(x-3)^{2}$

the vertex is the point (3,14)

$\frac{1}{4p}=-1$

$p=-\frac{1}{4}$

The directrix is equal to

$y=14+\frac{1}{4}=14.25$

case 3) we have

$y+7.5=2(x+2.5)^{2}$

the vertex is the point (-2.5,-7.5)

$\frac{1}{4p}=2$

$p=\frac{1}{8}$

The directrix is equal to

$y=-7.5-\frac{1}{8}=-7.625$

case 4) we have

$y-17=-(x-3)^{2}$

the vertex is the point (3,17)

$\frac{1}{4p}=-1$

$p=-\frac{1}{4}$

The directrix is equal to

$y=17+\frac{1}{4}=17.25$

case 5) we have

$y+7=(x-4)^{2}$

the vertex is the point (4,-7)

$\frac{1}{4p}=1$

$p=\frac{1}{4}$

The directrix is equal to

$y=-7-\frac{1}{4}=-7.25$

case 6) we have

$y-6=-(x-1)^{2}$

the vertex is the point (1,6)

$\frac{1}{4p}=-1$

$p=-\frac{1}{4}$

The directrix is equal to

$y=6+\frac{1}{4}=6.25$

5 0

3 years ago

Write 1.81 as a fraction and an improper number

Vadim26 [7]

Answer:

181/100

Step-by-step explanation:

because u moved the point twice you divide it by 100

6 0

3 years ago

What is the answer to this problem 9e+10 =

mihalych1998 [28]

E=1 because you would subtract 9 from both sides since it's on the side with the variable. The nines would cancel eachother out so you would have e on the left side then 10-9=1 so it would be e=1

8 0

3 years ago

Jen wrote ten times as many pages of a school report as tom. They wrote 396 pages altogether. How many pages did each student wr

Lunna [17]

Let pages written by Tom for a school report = x

Pages written by Jen for school report= 10 x

Pages written by Tom + Pages written by Jen = 396

→ x + 10 x = 396

→ 11 x =396

Dividing both sides by 11, we get

→ x =36,

Pages wrote by Tom= 36 pages

Pages wrote by Jen = 36 × 10=360 pages

3 0

3 years ago

In how many ways can 5 people be selected from 11 to play on a basketball team

inessss [21]

This is the number of combinations of 5 from 11.

11C5 = 11! / 5!6!

a quick way to work it out is (11*10*9*8*7) / (5*4*3*2*1)

= 462 answer

6 0

3 years ago