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Ray Of Light [21]
3 years ago
7

The graphs below have the same shape. What is the equation of the bluegraph​

Mathematics
2 answers:
Gnoma [55]3 years ago
3 0
The correct answer is c.
Dmitrij [34]3 years ago
3 0

Answer:

C. g(x) = (x + 4)² - 2

Step-by-step explanation:

When you increase the value of x by four units, you shift the graph of ƒ(x) four units to the left.

When you decrease the value of y by two units, you shift the graph of ƒ(x) down two units.

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Two similar circles are shown. The circumference of the larger circle, with radius OB, is 3 times the circumference of the small
zheka24 [161]

Answer:

The circumference of the smaller circle is:

C =  2*pi*x/3

Step-by-step explanation:

We know that for a circle of radius R the circumference is given by:

C = 2*pi*R

where pi = 3.14...

Here we have two circles, A and B, where B is the larger circle and A is the smaller circle.

We know that:

The circumference of B is 3 times the circumference of A.

The radius of circle B is: OB = x

The radius of circle A is: OA

We want to find an expression of OA.

The circumference of circle B will be:

C(B) = 2*pi*OB = 2*pi*x

The circumference of circle A will be:

C(A) = 2*pi*OA

And we know that the circumference of circle B is 3 times the circumference of circle A, then:

C(B) = 3*C(A)

replacing the equations for the circumferences, we get:

2*pi*x = 3*(2*pi*OA)

dividing both sides by 2*pi, we get:

x = 3*OA

Now we want to solve this for OA, then we need to isolate it,

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We can conclude that the radius of the smaller circle is equal to x/3.

Then the circumference of circle A is:

C(A) = 2*pi*x/3

5 0
2 years ago
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