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3 years ago

Which answer describes the transformation of g(x)=log4(x−2)+4 from the parent function f(x)=log4x?

Mathematics

2 answers:

xz_007 [3.2K]3 years ago

6 0

Answer:

It is the graph of f(x) shifted 2 units right and 4 units up.

A is correct.

Step-by-step explanation:

We are given two function. One is parent function and another is transform using shifting.

Parent Function:

$f(x)=\log_4x$

Now we shift 2 unit right $x\rightarrow x-2$

$f(x)=\log_4(x-2)$

Now we shift 4 unit up $f(x)\rightarrow f(x)+4$

$g(x)=\log_4(x-2)+4$

We changed f(x) to g(x) by two transformation

f(x) shifted 2 unit right then
f(x) shifted 4 unit up

Thus, we get g(x) by transform of f(x) shifted 2 unit right and shifted 4 unit up.

juin [17]3 years ago

3 0

The correct answer for this question is this one: "A. It is the graph of f(x) shifted 2 units right and 4 units up."

The choices are the following:
A. It is the graph of f(x) shifted 2 units right and 4 units up.
B. It is the graph of f(x) shifted 2 units left and 4 units down.
C. It is the graph of f(x) shifted 4 units left and 2 units down.

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Which transformations can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4

jek_recluse [69]

Notice that every pair of point (x, y) in the original picture, has become (-y, -x) in the transformed figure.

Let ABC be first transformed onto A"B"C" by a 90° clockwise rotation.

Notice that B(4, 1) is mapped onto B''(1, -4). So the rule mapping ABC to A"B"C" is (x, y)→(y, -x)

so we are very close to (-y, -x).

The transformation that maps (y, -x) to (-y, -x) is a reflection with respect to the y-axis. Notice that the 2. coordinate is same, but the first coordinates are opposite.

ANSWER:

"<span>a 90 clockwise rotation about the origin and a reflection over the y-axis</span>"

5 0

3 years ago

Read 2 more answers

Can someone help me

pantera1 [17]

Step-by-step explanation:

I guess, the problem is to understand :

what means "average" ?

well, the average of a defined set of data points is the sum of the data divided by the number of data points (or samples).

that way you get a mean value for each time the system is "measured" (a data point is created).

each new measurement / data point changes the mean value (or average).

this is used all the time - in sports statistics (e.g. the average score of a team), in daily life (like the average height of a human being that defines sizes of clothes, beds, chairs, tables, even the typical height of ceilings and so on).

the average of these 8 data points is therefore :

(36+37+34+23+47+27+31+21)/8 = 256/8 = 32

so, if he wants to raise his average score to 35 with the results of the next 2 games, this has 2 things to be considered :

1. the number of days points will be then 8+2=10 (and not just 8).

2. we need to add 2 data points, so that the sum of all 10 data points divided by 10 is then 35.

(36+37+34+23+47+27+31+21+x+y)/10 = 35

(36+37+34+23+47+27+31+21+x+y) = 350

x + y = 350 - 256 = 94

that means, he has to score a total of 94 points in the next 2 games.

it does not matter, how many in any single game, as long as the sum of both games is 94.

since the question is phrased "how many in each of the next 2 games", we simply take the target average of these 2 games.

remember, sum/amount = 94/2 = 47.

so, he would have to score 47 points in each of the next 2 games to raise his general average score to 35.

7 0

2 years ago

Can someone explain how to reflect across x=2 I dont understand it

natka813 [3]

Answer: -2

Step-by-step explanation:

use a x and y chart

5 0

2 years ago

neil has 3 partially full cans of white paint. They contain 1/3 gallon, 1/5 gallon, and 1/2 gallon of paint about how much paint

tensa zangetsu [6.8K]

Answer: 31/30 gallons, or 1 and 1/30 gallons

5 0

2 years ago

The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one poi

Afina-wow [57]

Answer: 36 three-point field goals.

Step-by-step explanation:

To solve this problem, set up a system of equations. Let's call the number of one-pointers $w$ , the number of two-pointers $x$ , and the number of three-pointers $y$ . We are trying to find $y$ here. We also know that $w+x+y=85$ , because that is the total amount of baskets, and also that $w+2x+3y=184$ , which is the total amount of points. We know that there were 22 free throws, so that means we can take away 22 baskets from the first equation, and also 22 points from the second equation. Now the equations are $x+y=63$ and $2x+3y=184$ . Solving the equations using our knowledge of systems of equations, you get that $y=36$ . So, 36 is the answer. Let me know if anything was unclear, and I hope this helped.

3 0

3 years ago