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3 years ago

How does the graph of f(x) = (x + 2)4 + 6 compare to the parent function g(x) = x4?

Mathematics

1 answer:

Alchen [17]3 years ago

5 0

Answer: find the answer in the explanation

Step-by-step explanation:

Given that the transformed graph is of function f(x) = (x + 2)^4 + 6 and the parent function g(x) = x^4

The transformed graph function g(x) was shifted two (2) units to the left and was translated six (6) units upward.

When the function is shifted to the right, the factor of x will be negative and when it's shifted to the left, the factor of x will be positive.

Therefore, function g(x) = x^4 is shifted 2 units to the left and translated 6 units upward to form f(x) = ( x + 2 )^4 + 6.

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Which represents the value of Point on the number line?

melomori [17]

Answer:

Step-by-step explanation:

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2 years ago

Solve the following rational equation plz help!!

Yuri [45]

Answer:

x = $\frac{9}{4}$

Step-by-step explanation:

Given

$\frac{4x}{x+1}$ - $\frac{5}{x}$ = $\frac{4}{x^2+x}$ ← factor denominator

$\frac{4x}{x+1}$ - $\frac{5}{x}$ = $\frac{4}{x(x+1)}$

[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]

Multiply through by x(x + 1)

4x² - 5(x + 1) = 4

4x² - 5x - 4 = 4 ( subtract 4 from both sides )

4x² - 5x - 9 = 0 ← in standard form

(x + 1)(4x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

4x - 9 = 0 ⇒ 4x = 9 ⇒ x = $\frac{9}{4}$

However, x ≠ - 1 for reason given above, then

solution is x = $\frac{9}{4}$

4 0

2 years ago

on a piece of paper, graph y<-3/4x+2. Then determine which answer choice matches the graph you drew.

exis [7]

Answer:

D. Graph D

Step-by-step explanation:

The "y <" tells you two things: (1) shading will be below the line, where y-values are less than those on the line, and (2) the line will be dashed, because the "equal to" case is not included.

Only one graph has a dashed line with shading below: Graph D.

7 0

2 years ago

40 POINTS

Dmitry [639]

I think 7 mi is the answer

5 0

2 years ago

Read 2 more answers

How many ways are there to select 12 countries in the United Nations to serve on a council if 3 are selected from a block of 45,

sattari [20]

Answer: There are 2346953264 ways to do so.

Step-by-step explanation:

Since we have given that

Total number of selected countries = 12

Number of selected countries from a block of 45 = 3

Number of selected countries from a block of 57 = 4

So, remaining number of selected countries from a block of 69.

So, 12-(3+4)=12-7=5

Now, we need to find the number of ways, so we will use "Combination" to select that number of countries.

So, it becomes.

$^{45}C_3\times ^{57}C_4\times ^{57}C_5\\\\=14190\times 395010\times 4187106\\\\=2346953264$

Hence, there are 2346953264 ways to do so.

8 0

3 years ago