f(x)=|x+2|-3 The maximum point is -3 because that is the vertical shift.
f(x)=-|x-2|-3 The minimum point is -3 because that is the vertical shift.
As for the problem in the picture, the vertex is (5,3) because you take the opposite in the absolute value sign and you leave the vertical shift the same, and the graph is shifted 5 units right and 3 units up (Knowing this shift can help you figure out the vertex). The graph opens downward because there is a negative sign in front of it. The maximum is 3 because that is the vertical shift.
Evidently the quesiton is incomplete.
It is logic that the actions are roll a die and draw a card.
The two events are indepent, so the combined probability is the sum of the individual probabiliites.
Probability = number of positive events / number of possible events
Probability of rolling an even number = number of faces with even numbers / total number of numbers.
Probability of rolling an even number = 3 / 6 = 1/2
Probability of drawing an ace = number of aces in the deck of cards / number of cards
Probability of drawing an ace = 4 / 52 = 1 / 13
Combined probability = 1/2 + 1/13 = (13 + 2) / 26 = 15 / 26
Answer: option D. 15 / 26
Answer:
![\frac{ - 13}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%2013%7D%7B15%7D%20)
Step-by-step explanation:
![\frac{ - 11}{15} + \frac{ - 2}{15} = \frac{( - 11 - 2)}{15} = \frac{ - 13}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%2011%7D%7B15%7D%20%20%2B%20%20%5Cfrac%7B%20-%202%7D%7B15%7D%20%20%3D%20%20%5Cfrac%7B%28%20-%2011%20-%202%29%7D%7B15%7D%20%20%3D%20%20%20%5Cfrac%7B%20-%2013%7D%7B15%7D%20)