Answer:
vertex = (-4, 5)
Step-by-step explanation:
In general, the graph of the absolute value function f(x) = a|x - h| + k will have its lowest value when f(x) = k (or highest value for f(x) = -a|x - h| + k). The lowest/highest value is the vertex (turning point).
Therefore, from inspection of the equation we can say that the y-coordinate of the vertex is 5.
Set the equation to 5 and then solve for x:
⇒ 5 = 1/2 |-X – 4| + 5
⇒ 1/2 |-X – 4| = 0
⇒ |-X – 4| = 0
Therefore, (-X - 4) = 0 and -(-X - 4) = 0
⇒ X = -4 (for both)
So the vertex is (-4, 5)
<u>Translations</u>
Absolute value parent function: f(x) = | -x |
Horizontal translation left 4 units: f(x) = |-x - 4|
Horizontal stretch of sf 1/2: f(x) = 1/2 |-x - 4|
Vertical translation up 5 units: f(x) = 1/2 |-x - 4| + 5
Answer:
Probably a Right, and Scalene
Step-by-step explanation:
Do know what u mean
Answer:
Expression B is 4 times as great as expression A
Step-by-step explanation:
Expression B is 4 times as great as expression A because expression A is just expression B divided by 4.
Answer:
34.5
17.1
Step-by-step explanation:
For this case we have the following exponential equation:
y = A (b) ^ t
Where,
A: initial amount
b: decrease rate
t: time in hours
We then have to rewrite the equation for this problem:
y = 200 * (0.5) ^ ((1/16) * t)
For t = 29 hours we have:
y = 200 * (0.5) ^ ((1/16) * 29)
y = 56.93943174 mg
Answer:
It will remain 56.94 mg after 29 hours
