ANSWER PLEASE! ITS HARD!!Graph the image of triangleXYZ after a dilation with a scale factor of
1
4
and the origin as its center. Then enter an algebraic rule to describe the dilation. Express any fractions in the rule for the dilation in simplest form.

Scale factors are used to enlarge or reduce the size of a shape

The coordinates of the dilated triangle are (1,1), (3,3) and (1,3)

The coordinates of the triangle are given as:

The scale factor of dilation is given as:

The coordinates of the new triangle after dilation are calculated as follows:

So, the dilation rule is:

Hence, the coordinates of the dilated triangle are (1,1), (3,3) and (1,3)

See attachment for the image of the triangle

Read more about dilations at:

link

Relax this isn't really that hard. We're given a triangle with coordinates

X(4,4), Y(12,12), Z(4,12)

and we're told to dilate it around the origin by scale factor 1/4.   The origin part makes it easy; this just means we multiply all the coordinates by 1/4.

So our new triangle is

X'(1,1), Y'(3,3), Z'(1,3)

which we plot in red.

Is that third page asking for the lengths?  We have

X'Y' is the hypotenuse of a right triangle with legs 2 and 2, so

|X'Y'| = 2√2

|Y'Z'| is 3-1 = 2

|Z'X'| = 2

The rule is

(x,y) → (x/4, y/4)

step-by-step explanation:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.