1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Basile [38]
3 years ago
6

If f(x) = x2, which of the following describes the graph of f(x - 1)? A. The graph of f(x - 1) is a horizontal shift of f(x) = x

2 one unit to the right. B. The graph of f(x - 1) is a vertical shift of f(x) = x2 one unit down. C. The graph of f(x - 1) is a vertical shift of f(x) = x2 one unit up. D. The graph of f(x - 1) is a horizontal shift of f(x) = x2 one unit to the left.
Mathematics
2 answers:
MrRissso [65]3 years ago
6 0

Answer:

Choice A is correct.

Step-by-step explanation:

We have given that

f(x) = x²

We have to find the description of the graph f(x-1).

f(x-1) = (x-1)²

When we replace x with x-a , the resulting graph is a horizontal shift of f(x) by a units to the right.

The graph of f(x-1) is horizontal shift of f(x) by 1 units to the right.

Hence, Choice A is correct.

pantera1 [17]3 years ago
4 0

Answer:

A

Step-by-step explanation:

To understand this, we can look at the vertical & horizontal translations of a parabola of the form  f(x)=x^2

  • A vertically translated parabola has the form  f(x)=x^2+k, where k is the vertical shift upward when k is positive and vertical shift downward when k is negative.
  • A horizontally translated parabola has the form  f(x)=(x-a)^2, where a is the horizontal shift rightward when a is positive and horizontal shift leftward when a is negative.

When we replace x of the original function with (x-1), we have  f(x)=(x-1)^2. According to the rules, this means that the original function is shifted 1 unit right (horizontal shift).

Correct answer is A.

You might be interested in
Simplify completely*******​
Elodia [21]

Answer:

\displaystyle \frac{x - 12}{4}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Terms/Coefficients
  • Factoring

Step-by-step explanation:

<u>Step 1: Define</u>

\displaystyle \frac{2x - 24}{8}

<u>Step 2: Simplify</u>

  1. [Fraction - Numerator] Factor:                                                                       \displaystyle \frac{2(x - 12)}{8}
  2. [Fraction] Reduce:                                                                                         \displaystyle \frac{x - 12}{4}
8 0
2 years ago
Read 2 more answers
.
pishuonlain [190]

Answer: 2x + 5y = -5

Step-by-step explanation:

Two lines are said to be parallel if they have the same slope.

The equation of the line given :

2x + 5y = 10

To find the slope , we will write it in the form y = mx + c , where m is the slope and c is the y - intercept.

2x + 5y = 10

5y = -2x + 10

y = -2/5x + 10/5

y = -2/5x + 2

This means that the slope is -2/5 ,the line that is parallel to this line will also have a slope of -2/5.

using the formula:

y-y_{1} = m (x-x_{1} ) to find the equation of the line , we have

y - 1 = -2/5(x -{-5})

y - 1 = -2/5 ( x + 5 )

5y - 5 = -2 ( x + 5 )

5y - 5 = -2x - 10

5y + 2x = -10 + 5

therefore :

2x + 5y = -5 is the equation of the line that is parallel to 2x + 5y = 10

8 0
2 years ago
Read 2 more answers
VERBAL
telo118 [61]

Answer:

The initial value in the word problem is the output value when input value is set to zero.

Step-by-step explanation:

  • In the question, it is given that a problem uses a linear function.
  • It is required to explain how to interpret the initial value in a word problem.
  • In order to find the initial value in a world problem, find the output value when input value is set to zero.
  • If the initial value is marked as b for a linear function f(x), find it as follow,
  • b = f (x=0)
6 0
1 year ago
Which quantity is proportional to 35/80
Talja [164]

Answer:

35/80

u want to find a number that is proportional to 35/80, then all u need is a number that is equivalent...another words, if it is proportional, it is an equivalent fraction to 35/80.

there can be several answers to this...such as 35/80 reduces to 7/16...so 7/16 is proportional....or if u multiply numerator and denominator by the same number, u will find a proportional number...

example :

35/80 * 2/2 = 70/160...this is proportional

35/80 * 3/3 = 105/240...this is proportional

35/80 * 4/4 = 140/320...this is also proportional

and so on....

so without giving us any answer choices, there can be many numbers to choose from

6 0
3 years ago
HELP ASAP1!11!!11!1!!1!1!1!11!
Dmitry [639]

Answer:$450

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is 12 divided by 1083
    8·1 answer
  • The number of parking tickets issued in a certain city on
    9·1 answer
  • You make $0.75 for every newspaper you sell. Write and solve an equation to find how many newspapers n you have to sell to buy t
    7·2 answers
  • What is 0.5, 1/5, 0.35, 12/25, 4/5 in order from least to greatest?
    6·2 answers
  • D. 2x2+3x-x2+y+y-(x2+2y)=3
    7·1 answer
  • Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come f
    10·1 answer
  • Solve x2 – 2x = 15 by applying the quadratic formula.
    11·1 answer
  • Original price: $50; Markdown: 30%<br><br> Find the retail price
    13·2 answers
  • Pease help me i'll give you the brainliest<br>​
    7·1 answer
  • Consider the function f(x)=−3x+3 on the interval [−8,4]. Find the absolute extrema for the function on the given interval. Expre
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!