Answer:
g(x) = (x − 1)3 + 5 graph1
x
y
02
1
5
f(x) = x3 graph 2
x
y
−2
−8
−
1−1
0
0
1
1
28
Answer:
Last option, a translation of 1.5 units left, 0.5 unit up, then a reflection across the x-axis
Step-by-step explanation:
Let's pick any random point. So let's just chose point L. Comparing point L to point L', we can already see that the options given are incorrect. For example, the first option with just translations is incorrect because when we do translate point L 1.5 units left and then 1.5 units down, it does not line up with point L'. For the second and third options, we know that L(-2.5, 1.5) and L'(-4,-2). Therefore, there must be some sort of shift left, right, up, or down, to go from coordinates with decimals to coordinates with whole numbers, leaving the last option, D, as the correct one.
The measure of EC is 1 ft.
Solution:
Given data:
AD = 8 ft, DB = 2 ft, AE = 4 ft
To find the measure of EC:
Using triangle proportionality theorem,
<em>If a line is parallel to one side of a triangle intersects the other two sides, then it divides the two side proportionally.</em>


Do cross multiplication.

8 EC = 8
Divide by 8 on both side of the equation, we get
EC = 1
EC = 1 ft
Hence the measure of EC is 1 ft.