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WINSTONCH [101]
3 years ago
11

In which direction must the graph of f(x) = x be shifted to produce the graph of g(x) = f(x) - 4? A. down B. left and down C. up

D. right and up
Mathematics
1 answer:
Hoochie [10]3 years ago
6 0

Answer:

A. down

Step-by-step explanation:

The parent graph is

f(x) = x

If this graph is transformed to obtain

g(x) = f(x) - 4

The subtracttion means the graph will shift downward vertically

The graph of g(x) is obtained by shifting f(x) down by 4 units.

Therefore the direction is down.

You might be interested in
Write a function to represent the set of ordered pairs.<br><br> {(2, -2), (3, 8), (4, 22), (5, 40)}
natali 33 [55]

Answer:

y = 2x² - 10

Step-by-step explanation:

We must find a pattern in the numbers. Set out the numbers in a table (Columns 1 and 2 in the table).

<u>x</u>    <u> y</u>    <u>y/2</u>    <u>y/2 + 5 </u>

2   -2      -1           4

3    8       4           9

4  22      11          16

5  40    20         25

It looks like all y-values are multiples of 2.

Let's divide them by 2 (Column 3).

The numbers don't increase evenly. We may have a quadratic function.

If we add 5 to each quotient, we get a set of values equal to x² (Column 4).

y/2 +   5 = x²

y     + 10 = 2x²

y            = 2x² - 10

The function is y = 2x² - 10.

4 0
3 years ago
Can somebody plz answer this question quick and correctly!
Kruka [31]

Answer:

42%

Step-by-step explanation:

100% - 58% = 42%

3 0
3 years ago
Order the following numbers from least to greatest. Put the lowest number on the left. 2 -2 5 -5
natulia [17]

Answer:

-5,-2,2,5

Step-by-step explanation:

5 0
3 years ago
Enter the correct answer in the box.
Mekhanik [1.2K]

The equation in the vertex form of g(x) is:

g(x) = (x + 1)^2 - 38

<h3>How to get the equation of function g?</h3>

We know that g(x) is a translation of 2 units below and 3 units to the left of f(x).

So first, let's rewrite f(x) to its vertex form:

f(x) = x^2 - 4x - 32

The vertex is at:

x = -(-4)/2*1 = 2

The y-value of the vertex is:

f(2) = 2^2 - 4*2 - 32 = -36

Then the vertex form of f(x) is:

f(x) = (x - 2)^2 - 36

If we move this vertex 2 units below, and 3 units to the left, then we have:

g(x) = f(x +3) - 2\\\\g(x) = (x - 2 + 3)^2 - 36 - 2\\\\g(x) = (x + 1)^2 - 38

That is the equation for g(x) in vertex form.

If you want to learn more about quadratic equations:

brainly.com/question/1214333

#SPJ1

6 0
2 years ago
What is the recursive formula for this arithmetic sequence 6, -24, 96, -384
Artemon [7]

Answer:

Option A. a_{1} =6  a_{n}= a_{n-1}(-4)

Step-by-step explanation:

The given sequence in the question is 6,-24,96,-384.......n

and we have to give the recursive formula for this arithmetic sequence.

We can re write the sequence to make it more simpler

6,6(-4),(-24)(-4),(96)(-4).......n terms

Now we can say a_{1} = 6

and a_{n}= a_{n-1}(-4)

Therefore the recursive formula of the sequence is a_{1} = 6

a_{n}= a_{n-1}(-4)

7 0
3 years ago
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