Determine the axis of symmetry for the function f(x)= -2(x + 3)2 - 5.
2 answers:
Answer:
The axis of symmetry for the function f(x) is x=-3.
Step-by-step explanation:
The vertex form of a quadratic function is
.... (1)
Where, (h,k) is vertex and x=h is the axis of symmetry.
The given function is
.... (2)
From (1) and (2), we get
The axis of symmetry is
Substitute h=-3 in the above equation.
Therefore the axis of symmetry for the function f(x) is x=-3.
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Answer: 0.00102%
Step-by-step explanation:
Given : Human body temperatures are normally distributed with a mean of and a standard deviation of
A hospital uses as the lowest temperature considered to be a fever.
Let x be the random variable that represents the human body temperatures.
For x= 100.6,
Using normal distribution table for z-values for right-tailed area ,
P(x>100.6)=
Hence, the required probability = 0.00102%