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
garik1379 [7]
2 years ago
13

Suppose f (x) = x^2. Find the graph of f(x+2)

Mathematics
1 answer:
NISA [10]2 years ago
8 0
\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)={{  A}}({{  B}}x+{{  C}})+{{  D}}
\\\\
~~~~y={{  A}}({{  B}}x+{{  C}})+{{  D}}
\\\\
f(x)={{  A}}\sqrt{{{  B}}x+{{  C}}}+{{  D}}
\\\\
f(x)={{  A}}(\mathbb{R})^{{{  B}}x+{{  C}}}+{{  D}}
\\\\
f(x)={{  A}} sin\left({{ B }}x+{{  C}}  \right)+{{  D}}
\\\\
--------------------

\bf \bullet \textit{ stretches or shrinks horizontally by  } {{  A}}\cdot {{  B}}\\\\
\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{  B}}\textit{ is negative}\\
~~~~~~\textit{reflection over the y-axis}

\bf \bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\
~~~~~~if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\
\left. \qquad  \right.  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{  D}}\\
~~~~~~if\ {{  D}}\textit{ is negative, downwards}\\\\
~~~~~~if\ {{  D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{  B}}}

with that template in mind,

\bf f(x)=x^2\qquad \quad f(x+2)=(x+2)^2\implies f(x+2)=\stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{+2})^2\stackrel{D}{+0}

C = 2         B = 1        C/B = 2/1 or +2,    horizontal left shift of 2 units

f(x) shifted left by 2 units is f(x+2).
You might be interested in
Why do you get a math error when you try to evaluate (-100) ^0.5, but not when you evaluate -100^1.5?
Angelina_Jolie [31]
The parentheses take part in that
4 0
3 years ago
Sara sold half her comic books and then brought 9 more.She now has 15.
Andrew [12]
_6
(15-9)×2=12, she began with 12 comic books, X=12
5 0
2 years ago
Which of the following is the sum of 1/2 and -2/3
Lilit [14]

Answer:

- 1/6

Step-by-step explanation:

find the common denominators 3/6 - 4/6 = - 1/6

4 0
3 years ago
Translate to an inequality. "A number m is at most 2"
Leni [432]

Answer:

m \leq 2

Step-by-step explanation:

"at most" can translate to "less than or equal to," meaning m is less than or equal to 2.

8 0
3 years ago
Can anyone help me with science and math 23 assignments that I have missing including English also it’s in Jupiter grades
Alex_Xolod [135]

Answer:

I guess! I will try my best! I may not know all the answers, but I can help you with most I hope!

I hope that works?

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which function is the inverse of F(x) = bx?
    5·2 answers
  • Which of the following is a polynomial with roots: − square root of 5 , square root of 5 , and 3? (6 points)
    8·1 answer
  • The equatorial diameter of Jupiter is about 89,000 mi. This is about 11.23 times the equatorial diameter of earth. What is the e
    14·1 answer
  • Simplify by combining like terms:​
    12·1 answer
  • Directions-Write an equation for the nth term of each arithmetic sequence.
    13·1 answer
  • Which property of equality is represented by the equation below?
    8·2 answers
  • Is x+y=3 and x+y=7 a one solution, no solution, or an infinitely many solution
    15·2 answers
  • What is the area of the Rhombus​
    11·1 answer
  • What is the process of changing from one form to another
    13·2 answers
  • You used $3000 of your budget for training your employees. each hour of training costs $40 per employee plus a one-time $200 fee
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!