HELP PLEASE Describe the transformation of the following function. Select the choices that
are True. (3 pts)
(x – 4)
- 5
horizontal shift left 4 units
vertical shift down 5 units
vertical stretch by a factor of 3
vertical compression by a factor of 1/3
None of the above

Horizontal shift left 4 units.

Step-by-step explanation:

Output (x+a,y+b)

(HORIZONTAL) If a is positive the shape is going to move to the right, but if it's negative it's going to move the left.  

(VERTICALLY) If b is positive the shape moves up, but if it's negative it's going to move down.

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.