Answer:
○ The graph of y = -2x² + 3 opens downward and is shifted up.
Step-by-step explanation:
According to the Quadratic Equation, <em>y = Ax² + Bx + C</em>, <em>C</em><em> </em>acts<em> </em>like a y-intercept, and in this case, since both graphs shift up [because both are positive values], we do not pay attention to those. Now, we come over to our <em>A</em>, which makes a BIG difference because both graphs open in opposite directions [one negative, one positive]. With this being stated, we have our answer.
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** Extended information on Parabolas
Opens down → -A
Opens up → A
Answer:
The graph of y = f(x) will shift to the right 9 units.
Step-by-step explanation:
Despite some lack of clarity, because usually this equality is in terms of x and y. Let's do it.
Taking f(x) as its parent function in other words

Testing some values:
x|y
0|0
1|1
2|2
Adding to the function -9 units is to shift it to the right

Testing some values to certify:
x|y
-9|0-9
-8|1-9
-7|2-9
Answer:
surplus of 150$
Step-by-step explanation:
1853.68 + 178. times .249 = ......................owed at the end of the month
1450 +600 + 340 = $2390. * 12= $28 680. annually
..
30480 - 28680 = $1800. surplus at the end of the year divided by 12 = $150.00 monthly surplus
9 is the answer negatives cancel out creating positve
The formula for the number of bacteria at time t is 1000 x (2^t).
The number of bacteria after one hour is 2828
The number of minutes for there to be 50,000 bacteria is 324 minutes.
<h3>What is the number of bacteria after 1 hour?
</h3>
The exponential function that can be used to determine the number of bacteria with the passage of time is:
initial population x (rate of increase)^t
1000 x (2^t).
Population after 1 hour : 1000 x 2^(60/40) = 2828
Time when there would be 50,000 bacteria : In(FV / PV) / r
Where:
- FV = future bacteria population = 50,000
- PV = present bacteria population = 1000
- r = rate of increase = 100%
In (50,000 / 1000)
In 50 / 1 = 3.91 hours x 60 = 324 minutes
To learn more about exponential functions, please check: brainly.com/question/26331578
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