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:
3 seconds
Step-by-step explanation:
16 = 160 - 16t²
16t² = 144
t² = 9
t = 3
The value of a data point that is -2 standard deviations from the mean
so, 40.6 to 65.4.
<h3>What is the empirical rule?</h3>
According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.
From the empirical rule, we know that for 95% we are in 2 standard deviations of the mean. so:
= 53- 6.2- 6.2
= 40.6
The value of a data point that is -2 standard deviations from the mean
53 + 6.2 + 6.2
= 65.4
Learn more about the empirical rule here:
brainly.com/question/13676793
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