Answer:
y = 1/8(x -2)^2 -1
Step-by-step explanation:
The vertex form of the equation of a parabola can be written as ...
y = (1/(4p))(x -h)^2 +k
for vertex (h, k) and vertex-to-directrix distance p. Here, the vertex has a y-value of -1, and the directrix has a y-value of -3, so the distance between them is -1 -(-3) = 2, and the desired equation with vertex (2, -1) is ...
y = 1/8(x -2)^2 -1
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<em>Comment on the graph</em>
One description of a parabola is that it is the locus of points equidistant from the focus and the directrix. I like to show that a point on the parabola (not the vertex) meets that requirement. That is what the dashed orange lines are for in the diagram. You can easily see that each has length 4.
Answer: Part a) translate g(x) 6 units to the right, Translate f(x) 6 units to the left
Part b) k=3 (slope)
Step-by-step explanation:
Y=(3/4)^x represents exponential decay since 3/4 is less than one, so y will become increasing smaller as the exponent increases
Answer:
2695.04348
Well, I don't want to do ALL of the work but I'll give you an idea of how I got it:
First, ask yourself, "How many times does 23 go into 61?" which is the same thing as 61 divided by 23.
23 times 2 equals 46. I chose this number because 23 times 3 equals 69 and that is too much.
(The first digit is 2)
So 61 minus 46 equals 15. Then you bring down the 9 and divide 159 by 23.
23 times 6 is 138 and the closest you will get. Again, 159 minus 138 equals 21.
(Now the second digit of the answer is 6)
Bring down the 8 to get 218. 218 divided by 23 equals 9 (well, not exactly, but you get what I mean). 23 times 9 equals 207. 218 minus 207 equals 11.
(Don't forget, the third digit in the answer is now 9)
Keep doing this until you get your final answer, which I already gave you at the top to double check. When you reach the last number of 61,986 (which is 6), go into the decimal place and keep on working from there.
The probability of selecting cheesecake and cookie is 9/100
<h3>What is probability?</h3>
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Total outcome = 3 + 3 + 4
Total outcome = 10
Pr(selecting cheesecake) = 3/10
Pr(selecting cookie) = 3/10
Pr(selectiing cheesecake and cookie) = 3/10 * 3/10
Pr(selectiing cheesecake and cookie) = 9/100
Hence the probability of selectiing cheesecake and cookie is 9/100
Learn more on probability here: brainly.com/question/24756209
