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dusya [7]
3 years ago
7

F(x) = { x + 7 and g(x) = -x + 7 What transformation occurs from function f to function g?

Mathematics
1 answer:
Triss [41]3 years ago
5 0
<h3>Answer:  Reflect over the y axis</h3>

=====================================================

Explanation:

We have these two given functions

  • f(x) = x+7
  • g(x) = -x+7

The change is that the x has been replaced with -x

We can say

f(x) = x+7

f(-x) = -x+7 ... replace each x with -x

g(x) = f(-x)

g(x) = -x+7

When we replace x with -x, we're flipping the x inputs from positive to negative, and vice versa. This visually will reflect the line over the vertical y axis. A point like (1,8) on f(x) reflects over to (-1,8) on g(x).

As another example, the point (-5,2) on f(x) reflects over the y axis to arrive at (5,2) on the g(x) function.

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Suppose f(x)= x^2 fins the graph of f(x-1)
Gennadij [26K]
F(x)=x2,

g(x)=f(3x)=(3x)2=9x2

Now to graph y=9x2. This is a parabola (U-shape), vertex at (0, 0), symmetric aroung y  axis. When x=1/3 or -1/3, then y=1.

So, try to draw the graph.

8 0
3 years ago
The label on the cars antifreeze container claims to protect the car between -30C and 130C. To convert Celsius temperature to Fa
RideAnS [48]
C = 5/9(F - 32)

C = -30
-30 = 5/9(F - 32)
-30 = 5/9F - 160/9
-30 + 160/9 = 5/9F
-270/9 + 160/9 = 5/9F
-110/9 = 5/9F
-110/9 * 9/5 = F
- 990/45 = F
- 22 = F

C = 5/9(F - 32)
C = 130

130 = 5/9F  - 160/9
130 + 160/9 = 5/9F
1170/9 + 160/9 = 5/9F
1330/9 = 5/9F
1330/9 * 9/5 = F
11970/45 = F
266 = F

So in Fahrenheit temp, the the car is protected between -22 F and 266 F

4 0
3 years ago
Read 2 more answers
How many hundredths in 45.972
jolli1 [7]
45 is the whole number.
9 is the tenth number
7 is the hundredth number.
2 is the thousandth number.
So, its only one hundredth number in this problem
6 0
3 years ago
Read 2 more answers
Dan made 8 out of 10 free throws. What is the experimental probability that he will not make his next free throw? What is the th
nlexa [21]

Answer:

8/10--> 2/10 20 % scnahce of not makin git

Step-by-step explanation:

7 0
2 years ago
For a population with an unknown distribution, the form of the sampling distribution of the sample mean is _____. Group of answe
Nesterboy [21]

For a population where the distribution is unknown, the sampling distribution of the sample mean will be b which is approximately normal for all sample sizes.

Given options regarding sample sizes.

We have to choose the correct option which shows the sample mean characteristics when the distribution is unknown.

Based on the central limit theorem the sampling distribution of the sample mean for either skewed variable ir normally distributed variable can be approximated given the mean and standard deviation.

The central limit theorem is said to be  true when n greater than or equal to 30.

When n is greater than 30 ,z test is used, when n is less than 30 ,t test is used.

Hence for a population where the distribution is unknown ,the sampling distribution of the sample mean will be approximately normal for all sample sizes.

Learn more about sample at brainly.com/question/24466382

#SPJ4

Question is incomplete as it includes options in a right way:

1)exactly normal for large sample,

2) approximately normal for all sample sizes,

3) exactly normal for all sample sizes.

6 0
2 years ago
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