The following graphs are transformations of f(x) = x^2.

Mathematics

1 answer:

KiRa [710]2 years ago

4 0

Step-by-step explanation:

Let's look at A(x) and see how it is different from f(x)

it is shifted downwards by 8 units
it is not shifted to the left or the right

Therefore A(x) = f(x) - 8

Let's look at B(x) and see how it is different from f(x)

it is not shifted downwards or upwards
it is shifted to the left 7 units

Therefore B(x) = f(x + 7)

Let's look at C(x) and see how it is different from f(x)

it is shifted upwards by 4 units
it is shifted to right by 5 units

Therefore C(x) = f(x - 5) + 4

Let's look at D(x) and see how it is different from f(x)

it is not shifted downwards or upwards
it is not shifted to right by 12 units

Therefore D(x) = f(x - 12)

You might be interested in

In an inductive generalization, in order to achieve an error margin of plus or minus 3 percentage points at a confidence level o

ANTONII [103]

Let n = required random sample size.

Assume that the population standard deviation is known as σ.
Let m = sample mean.
At the 95% confidence level, the expected range is
(m - k(σ/√n), m + k(σ/√n))
where k = 1.96.

Therefore the error margin is 1.96(σ/√n).
Because the error margin is specified as 3% or 0.03, therefore
(1.96σ)/√n = 0.03
√n = (1.96σ)/0.03
n = 128.05σ²

This means that the sample size is about 128 times the population variance.

Answer:
Smallest sample size = 128.05σ², where σ = population standard deviation.

6 0

2 years ago

Someone help meh and tell me how u did it

morpeh [17]

Answer: 2 4/9

The decimal equivalent is 2.44

Step-by-step explanation:

It may help to convert the fractions to decimals. Divide the numerator by the denominator.

2 3/8 is 2.375

2 1/8 is 2.125 etc.

Remember that absolute value is considered positive. Then put the numbers in order.

7 0