Question

# Let . How does the graph of compare with the graph of f ?

- Vertical translation
- Horizontal translation
- Vertical compression
- Horizontal stretch

Hint:

### Translate the given function and then make a choice.

## The correct answer is: Horizontal translation

### * Given

* k = 3, when compared to

* So, the graph of g is the graph of f translates 3 units right.

>>>Hence, we can say that the function given is horizontal translation.

Horizontal translation is the function variation that relates the properties of a function and shifts a function to horizontally to obtain the other function.

### Related Questions to study

### The graph of is a _________ of when 0 < k < 1.

Multiplying the output of a linear function f by k scales its graph vertically.

So, when 0 < k < 1 the transformed graph is a vertical compression.

### The graph of is a _________ of when 0 < k < 1.

Multiplying the output of a linear function f by k scales its graph vertically.

So, when 0 < k < 1 the transformed graph is a vertical compression.

### Describe how the function compares with the graph of the function

f(x) = 5x+3 and g(x) = 5(x-2)+3

>>>Then, By comparing the terms of equations there is exactly 2 units shift of g(x) to right to reach f(x).

### Describe how the function compares with the graph of the function

f(x) = 5x+3 and g(x) = 5(x-2)+3

>>>Then, By comparing the terms of equations there is exactly 2 units shift of g(x) to right to reach f(x).

### Describe how the graph of the function compares with the graph of the function

Vertical stretch is a type of compression of the functions with the independent variable.

### Describe how the graph of the function compares with the graph of the function

Vertical stretch is a type of compression of the functions with the independent variable.

### The two points on the graph are given by the function .

Identify the two points on the graph.

### The two points on the graph are given by the function .

Identify the two points on the graph.

### The pollution level in the centre of a city at 6 am is 30 ppm (parts per million) and it grows in a linear fashion by 25 ppm (parts per million) every hour. If y is pollution and t is the time elapsed after 6 am, then determine the function that relates y with t .

### The pollution level in the centre of a city at 6 am is 30 ppm (parts per million) and it grows in a linear fashion by 25 ppm (parts per million) every hour. If y is pollution and t is the time elapsed after 6 am, then determine the function that relates y with t .

### A car rental charge is 100 dollars per day plus 0.30 dollars per miles traveled. Determine the function of the line that represents the daily cost by the number of miles traveled.

For such questions, we should know about the concept of function.

### A car rental charge is 100 dollars per day plus 0.30 dollars per miles traveled. Determine the function of the line that represents the daily cost by the number of miles traveled.

For such questions, we should know about the concept of function.

### Evaluate the function

For such questions, we should know the concept of the function.

### Evaluate the function

For such questions, we should know the concept of the function.

### Identify the function that is linear.

For such questions, we should know the concept of linear functions.

### Identify the function that is linear.

For such questions, we should know the concept of linear functions.

### Ramona’s garage charges the following labor rates. All the customers are charged for at least 0.5 hr.

Write the linear function for the data in the table.

A linear function forms a straight line in a graph. It is usually a polynomial function with a degree of 1 or 0, and the equation f(x) = mx + b, where b and m are real numbers. Isn't it similar to the slope-intercept form of a line, which is written as y = mx + b? Yes, because a linear function represents a line.

¶Examples from daily life

1. To print logos on T-shirts, a t-shirt company charges a one-time charge of $50 and $7 per T-shirt. As a result, the total cost is given as a linear function f(x) = 7x + 50, where 'x' is the total number of t-shirts.

2. In linear programming problems, linear functions represent an objective function to minimize costs or maximize profits.

¶

¶

### Ramona’s garage charges the following labor rates. All the customers are charged for at least 0.5 hr.

Write the linear function for the data in the table.

A linear function forms a straight line in a graph. It is usually a polynomial function with a degree of 1 or 0, and the equation f(x) = mx + b, where b and m are real numbers. Isn't it similar to the slope-intercept form of a line, which is written as y = mx + b? Yes, because a linear function represents a line.

¶Examples from daily life

1. To print logos on T-shirts, a t-shirt company charges a one-time charge of $50 and $7 per T-shirt. As a result, the total cost is given as a linear function f(x) = 7x + 50, where 'x' is the total number of t-shirts.

2. In linear programming problems, linear functions represent an objective function to minimize costs or maximize profits.

¶

¶

### A copy shop can produce a course reader at a cost of $25 per copy. The monthly fixed costs are $10,000. Determine the total monthly cost as a function of the number of copies produced.

### A copy shop can produce a course reader at a cost of $25 per copy. The monthly fixed costs are $10,000. Determine the total monthly cost as a function of the number of copies produced.

### A chemical plant was found to be discharging toxic waste into a waterway. The state in which the chemical plant was located fined the company $125,000 plus $1,000 per day for each day on which the company continued to violate water pollution regulation. Express the total fine as a function of the number of days in which the company remains in non-compliance.

For such questions, we should know the concept of function.

### A chemical plant was found to be discharging toxic waste into a waterway. The state in which the chemical plant was located fined the company $125,000 plus $1,000 per day for each day on which the company continued to violate water pollution regulation. Express the total fine as a function of the number of days in which the company remains in non-compliance.

For such questions, we should know the concept of function.

### When digging into the earth, the temperature rises according to the following linear function t = 15 + 0.01h,t,h is the depth in meters. Calculate what will be the temperature at 100 m depth?

For such questions, we should know the concept of function.

### When digging into the earth, the temperature rises according to the following linear function t = 15 + 0.01h,t,h is the depth in meters. Calculate what will be the temperature at 100 m depth?

For such questions, we should know the concept of function.

### For the function

### For the function

### Find the value of f (-1) for the function

For such questions, we should know the concept of the function.

### Find the value of f (-1) for the function

For such questions, we should know the concept of the function.