Triangle ABC, with vertices A (3,0), B (2,4), and C (4,2)undergoes a transformation to form triangle ABC with vertices A(3.0), B (2, -4) and C(4, -2). this type of transformation that triangle ABC undegoes is a . If triangle ABC undergoes a transformation to form triangle A"B"C" with vertices A(-3.0) B(-2, -4) and C(-4, -2), then the typeof transformation that triangle A'B'C' undergoes is a .

1st blank: X axis reflection

2nd blank: Y axis reflection

Step-by-step explanation:

If you drew the first triangle and then the second triangle on a piece of paper, you would notice that it would reflect across the corresponding axis.

So the solution is to just draw it out.

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt