Answer:
(Explanation)
Step-by-step explanation:
Part A:
The graph of y =
+ 2 will be translated 2 units up from the graph of y =
.
If you plug in 0 for x, you get a y-value of 2. The 2 is also not included with the
, which is why it doesn't translate left.
This is what graph A should look like:
[Attached File]
Part B:
The graph of y =
- 2 will be translated 2 units down from the graph of y =
.
If you plug in 0 for x, you get a y-value of -2. The 2 is also not included with the
, which is why it doesn't translate right.
This is what graph B should look like:
[Attached File]
Part C:
The graph of y = 2
is a stretched version of the graph y =
. Numbers that are greater than 1 stretch and open up and numbers less than -1 stretch and open down.
This is what graph C should look like:
[Attached File]
Part D:
The graph of y =
is a compressed version of the graph y =
. Numbers that are in-between 0 and 1, and -1 and 0 are compressed.
This is what graph D should look like:
[Attached File]
For example, if we use 5+3=8.
If you change it to 3+5, it still equals 8.
Therefore, 3+5=5+3 because at the end, they both have equal value aka both end up with 8 using the same numbers. (goes by the rule a+b=b+a)
Answer:
Hence x = y = 2
Step-by-step explanation:
Using the SOH CAH TOA identity
Hypotenuse = 2√2
Opposite = x
theta = 45
Sin theta = opp/hyp
Sin 45 =x/2√2
1/√2 = x/2√2
x = 2√2 * 1/√2
x = 2
To get y we will use the pythagoras theorem;
(2√2)² = x² +y²
(2√2)² = 2²+y²
8 = 4 + y²
y² = 8-4
y² = 4
y = √4
y = 2
Hence x = y = 2
Answer:
i'm not going to help you on a sage test
Step-by-step explanation: