All categories

3 years ago

Which answer describes the transformation of g(x)=log2(x+3)+1 from the parent function f(x)=log2x ?

Mathematics

1 answer:

tatiyna3 years ago

6 0

Answer:

g(x) is the function f(x) which is shifted 3 units left and 1 unit up

Step-by-step explanation:

Given

g(x)=log2(x+3)+1

and
f(x)=log2x

The transformation is

g(x) = f(x + 3) + 1, which indicates that

g(x) is the function f(x) which is shifted 3 units left and 1 unit up

You might be interested in

WHICH TABLE IS A FUNCTION? TABLE A TABLE B NEITHER BOTH

Alexandra [31]

I believe it neither

3 0

2 years ago

Read 2 more answers

Find the value of x round to the nearest tenth, i'm good with all other trigonometry lol

liraira [26]

Answer:

8.4 cm

Step-by-step explanation:

The sides involved are opposite and adjacent to the given angle. Therefore, you should use the tangent ratio.

Substitute:

tanx = opp/adj

tan35 = x/12

Multiply by 12 on both sides:

12(tan35) = (x/12)12

12(tan35) = x

Solve:

12(tan35) = x

8.4 = x

6 0

3 years ago

Sebastian swam laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In th

lord [1]

Answer:

$\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}$

Step-by-step explanation:

Please consider the complete question.

Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?

Let us convert time taken into hours as:

$\text{Days}=5\times 12=60$

$\text{Minutes}=60\times 45$

1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.

$\text{Hours}=\frac{60\times 45}{60}=45$

Now, we will divide 1800 by 45 to find average rate in laps per hour as:

$\text{Average rate}=\frac{\text{1800 laps}}{\text{45 hours}}$

$\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}$

Therefore, Sebastian's average rate is 40 laps per hour.

6 0

2 years ago

Identify the center and radius of the circle (x+4)^2+(y-2)^2=16

fgiga [73]

Answer: center is (-4,2) radius is 4

Step-by-step explanation:

Equation of circle

is (X-A)^2+(X-B)^2=r^2

The center Of The circle is (A, B)

The radius Of The circle is r

Comparing the given equation and the equation of a circle we get the center Of The circle as (-4,2) and then radius as 4

7 0

3 years ago

Definition: The ___ of an event happening is expressed as a fraction between 0 and 1.

aliina [53]

Definition: The probability of an event happening is expressed as a fraction between 0 and 1.

Example: The chance that you roll a 4 on a die is 1

3 0

3 years ago