Describe how the graph of y= x2 can be transformed to the graph of the given equation. (2 points) y = (x-4)2-8

The description is that the function was translated 4 units to the right and 8 units down.

Step-by-step explanation:

Translations:

Translating a function f(x) a units to the right is the same as finding f(x - a).

Translating a function f(x) a units to the left is the same as finding f(x + a).

Translating a function f(x) a units up is the same as finding f(x) + a.

Translating a function f(x) a units down is the same as finding f(x) - a.

y= x² to y = (x-4)²-8

First at the domain, x becomes x - 4, so f(x) becomes f(x - 4), that is, the function was translated 4 units to the right.

Then the function is subtracted by 8, that is, it was translated 8 units down.

The description is that the function was translated 4 units to the right and 8 units down.

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

step-by-step explanation: