Question

Help! I dont understand this

Answer 1

@amistre64

Answer 2

@Michele_Laino

Answer 3

hint:
it is a dilation plus a traslation

Answer 4

what does dilation and translation mean

Answer 5

just saying this is timed

Answer 6

traslation means a displacement from a point to another point, whereas a dilation means enlarging or reducing

Answer 7

First, you need to undestand how to interpret the choices.
Then you need to choose the correct choice.

Answer 8

how do you intrepret the choices?

Answer 9

Great question.
I'll explain.

Answer 10

this is timed plz no long explanations

Answer 11

I'll use the first choice as an example.

Answer 12

for example the subsequent equation:
x' = 10 x is a dilation

Answer 13

whereas the subsequent equation:
x' = x +5
is a traslation

Answer 14

(x', y') = (x + 7, -y - 1)
This choice means that to find the new x-coordinate, x', you take the original x-coordinate, x, and you add 7 to it. That is what x + 7 means.

Answer 15

so x means two things

Answer 16

and the subsequent equation:
x' = 10 x +5
is a traslation plus a dilation

Answer 17

With the y-coordinates, take the original y-coordinate, y, and transform it into -y - 1.

Answer 18

Let's choose one vertex in the trapezoid and see if the first choice works.

Answer 19

Let's use the lower left point.
Originally it's (-4, 1)
Let's apply the first choice to it: (x + 7, -y - 1)
(-4, 1) ----> (-4 + 7, -(-4) - 1) = (3, 3)
The new lower left point is (1, 4), so this choice is not it because we got (3, 3) instead.

Answer 20

The second choice has you do -x - 7 to the x-coordinate.
Start with x = -4.
Now do -x - 7 to it:
-(-4) - 7 =4 - 7 = -3
This also does not work because the new x-coordinate must be 1

Answer 21

Move on to choice 3.
The x-transformation is: 2x - 7
Let's try it again to x-coordinate -4:
2(-4) - 7 = -8 - 7 = -15
Once again it does not work because we need an x-coordinate of 1, and we got -15.

Answer 22

my question timed out. thxs for the help though

Answer 23

By the process of elimination, the correct choice must be the 4th choice.
Let's check it.
x' = 2x + 9
Let's try it with x = -4:
2(-4) + 9 = -8 + 9 = 1
It works for x.
Let's try it for y:
y' = 2y + 2
For y = 1,
y' = 2(1) + 2 = 2 + 2 = 4
Since the coordinates of that same point after the transformation are (1, 4), choice 4 is the answer.