The transformation occurs from function g is a vertical translation 6 units down.
<h3>What is Transformation?</h3>
A function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f : X → X.
Given:
g(x) = 4x + 6
g(x) = 0
4x + 6=0
x= -6/4
Now,
f(-6/4) = 2 - 1
=-1
By seeing g(x), we can say that function g is a vertical translation 6 units down.
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Replace the x with 2: f(2)=2*2+7=4+7=11
replace the x with 7: f(7)=2*7+7=14+7=21
Answer:
It will take 10 hours.
Step-by-step explanation:
By using the formula of motion,
v = u + at
Here, v = Final speed of an object
u = initial speed
a = Acceleration by which the speed is increasing
t = Duration or time
Now substitute the values given in the question,
80 = 50 + 3t
3t = 30
t = 10 hours
Therefore, after 10 hours speed of the bus will be 80 mph.
We are asked to find the probability that a data value in a normal distribution is between a z-score of -1.32 and a z-score of -0.34.
The probability of a data score between two z-scores is given by formula
.
Using above formula, we will get:

Now we will use normal distribution table to find probability corresponding to both z-scores as:


Now we will convert
into percentage as:

Upon rounding to nearest tenth of percent, we will get:

Therefore, our required probability is 27.4% and option C is the correct choice.