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fredd [130]
3 years ago
11

Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g. g

(x) = f(x − 3) + 4 A. The graph of function f is shifted right 3 units and up 4 units. B. The graph of function f is shifted right 3 units and down 4 units. C. The graph of function f is shifted left 3 units and down 4 units. D. The graph of function f is shifted left 3 units and up 4 units. Reset Next
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0

The option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a transformation function:

g(x) = f(x - 3) + 4

The parent function is f(x).

First transformation:

x → (x - 3)

The function will shift right by 3 units.

Second transformation:

Add 4 to the function:

g(x) = f(x - 3) + 4

The function will shift up by 4 units.

Thus, the option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

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Answer:

His balance is $3778.28

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3 years ago
What is the measurement of Angle O in parallelogram LMNO. When angle L is (x+40) and angle O is (3x)
I am Lyosha [343]

In a parallelogram, opposite angles are congruent.

This means that the four angles of the parallelogram are:

L = x+40,\quad M = 3x,\quad N = x+40,\quad O = 3x

Moreover, the sum of the interior angles of a polygon with n sides is 180(n-2). So, the sum of the interior angles of a parallelogram is 360.

This means

L+M+N+O = 360 \iff 2(x+40)+2(3x) = 2x+80+6x = 360 \iff 8x = 280 \iff x = 35

And since O=3x, we have O=3\cdot 35=105

3 0
3 years ago
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the sum of two numbers is 63. one ninth of the first number plus one sixth of the second number is 21. find the numbers
PSYCHO15rus [73]

Answer: x= -189, y =252

Step-by-step explanation:

Let the first number be x and second number be y

so

x + y = 63

x = 63-y

now

1/9 of x + 1/6 of y = 21

x/9 + y/6 = 21

substituting x's value from equation i

(63-y)/9 + y/6 = 21

(378-6y+9y)/54 = 21

378+3y = 1134

3y = 1134-378

so, 3y = 756

so, y = 756/3

so, y = 252

now

x = 63-252

so, x = -189

6 0
3 years ago
Use graphs and tables to find the limit and identify any vertical asymptotes of the function.
scZoUnD [109]

Answer:

The line x = 8 is our vertical asymptote

The limit of \frac{1}{x-8} as x approaches 8 from the left is negative infinity; -∞

Step-by-step explanation:

We have been given the following function;

\frac{1}{x-8}

Considering that the function is rational, it will defined everywhere on the real line except where the expression in the denominator will be 0;

That is the function will not be defined where;

x - 8 = 0

solving for x yields;

x = 8

The function will be approaching the vertical line x = 8 asymptotically, meaning that the function will never touch or cross this line. We can therefore say that,

The line x = 8 is our vertical asymptote for the given function

The limit of \frac{1}{x-8} as x approaches 8 from the left;

\lim_{x \to8^{-} }\frac{1}{x-8}

For x approaching 8 from the left, x which implies that x-8

The denominator will be a negative quantity approaching 0 from the left, that is -∞.

Thus;

\lim_{x \to8^{-} }\frac{1}{x-8} = -∞

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