Answer:
A) y = (x + 3)² + 4
B) y = (x - 3)² + 2
C) y = (x - 1)² - 5
Step-by-step explanation:
2 units UP means that the vertex will be shifted from (-3 , 2) to (-3, (2 + 2) or (-3, 4)
As the y = (x + 3)² will still be zero at x = -3, we just need to change the "+ 2" to
"+ 4" to shift the curve upward by 2
y = (x + 3)² + 4
When we want to shift the curve to the right, we want the vertex to move from (-3, 2) to (3, 2)
This means that the term in parenthesis must be zero with our desired x value
(3 + C)² = 0
3 + C = 0
C = -3
y = (x - 3)² + 2
4 units right and 7 units down mean that the vertex is desired at (1, -5)
(1 + C)² = 0
C = -1
y = (x - 1)² - 5
The answer is a because if you do the math right the it will come up at 4, 9 which means that state a double as much as B
9514 1404 393
Answer:
- y = 0
- A all real numbers
- E y > 0
- infinity
Step-by-step explanation:
1. The horizontal asymptote is the y-value the function approaches, but does not reach. That value is y = 0. This equation is the equation of that asymptote.
__
2. The domain is the horizontal extent of the graph. It covers "all real numbers." (A)
__
3. The range is the vertical extent of the graph. As we said in part 1, the value y = 0 is never reached, so the vertical extent (range) is y > 0 (E).
__
4. The graph extends upward indefinitely as x extends to the left indefinitely. That is, y → infinity.
9514 1404 393
Answer:
14.9 cm
Step-by-step explanation:
To find c using the Law of Sines, you must know angle C. That is found from ...
C = 180° -A -B = 180° -150° -12° = 18°
Then the law of sines tells you ...
c/sin(C) = b/sin(B)
c = b·sin(C)/sin(B) = (10 cm)·sin(18°)/sin(12°)
c ≈ 14.9 cm
