All categories

3 years ago

Identify the transformation of the function f(x)=|x| by observing the equation of the function g(x)=|x+3|

Mathematics

1 answer:

Alla [95]3 years ago

6 0

Answer:

a horizontal translation by 3 units left

Step-by-step explanation:

f(x)= |x|

we are given with absolute function f(x)

g(x) = |x+3|

To get g(x) from f(x) , 3 is added with x

If any number is added with x then the graph of the function move to the left

Here 3 is added with x, so the graph of f(x) moves 3 units left to get g(x)

So there will be a horizontal translation by 3 units

You might be interested in

Ksenya-84 [330]

To solve this you can make a proportion where the matching sides will correspond to each other. It should look something like this:

$\frac{AC}{PD} =\frac{CR}{DR}$

$\frac{10}{15} =\frac{x}{42}$

Now you must cross multiply

10*42 = 15*x

420= 15x

To isolate x divide 15 to both sides

420/15 = 15x/15

28 = x

Hope this helped!

~Just a girl in love with Shawn Mendes

7 0

4 years ago

Pls help :( <3 thanks

diamong [38]

It’s 2.6 inches.......

5 0

3 years ago

If you earn $3250 per month and you expect your earnings to increase by 2.2% per year, how much do you think you will be making

zysi [14]

Answer: $42546.9 will be the earning in 4 years.

Step-by-step explanation:

The equation for compound interest follows:

$A=P(1+\frac{r}{100})^n$

where,

A = total amount

P = Principle amount

r = rate of interest

n = number of years

We are given:

Earnings earned per month = $3250

Earnings earned per year = ($3250 × 12) = $39000

The values become:

$P=\$39000\\r=2.2\%\\n=4yrs$

Putting values in above equation, we get:

$A=39000(1+\frac{2.2}{100})^4\\\\A=\$ 42546.9$

Hence, $42546.9 will be the earning in 4 years.

4 0

3 years ago

three numbers have a sum of 100. the difference between the two larger numbers is 12. the difference between the two smaller num

Margarita [4]

Answer:

28 + 30 + 42 = 100

Step-by-step explanation:

s=small number

s+ (s+2) + (s+2 +12) =100

3s +16 = 100

3s =84

s = 28

small 28

mediam 28+2 = 30

large 30+12 = 42

7 0

3 years ago

Read 2 more answers

The value of y varies directly with x. If x = 3, then y = 21. What is the value of x when y = 105?

Vikentia [17]

Answer: 15

Step-by-step explanation:

varies directly means: $\frac{y}{x} = k$

Plug in the given values of x and y to solve for k: $\frac{21}{3} = k$ → 7 = k

Next, plug in the k-value of 7 and the given y value of 105 to solve for x:

$\frac{105}{x} = 7$

$\frac{105}{x}(\frac{x}{7}) = 7(\frac{x}{7})$

$\frac{105}{7} = x$

15 = x

6 0

3 years ago