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
r-ruslan [8.4K]
3 years ago
15

If the graph of the function moves to the right two units what is the new vertex of the function

Mathematics
1 answer:
Allisa [31]3 years ago
5 0

Answer:

Let's talk through this a one step at a time.

*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.

*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.

*At this point, f(x-5) has its vertex at (5,0).

*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]

*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence

You might be interested in
Suppose y varies directly with x. If y = 6 when x = -2, find x when y = 15.
s2008m [1.1K]
D because u going to take y6 and y 15 multiples the number it equal to y90 and take x-2 divide into 90
3 0
2 years ago
Read 2 more answers
Please help!!! Answer ASAP and show work!!!
n200080 [17]

Answer:

B and C. can you select more than one?

4 0
2 years ago
A decorator has estimated the following costs for remodeling a large conference room in your office area: carpeting, $2,620; con
goldfiish [28.3K]
$2,620
$0,750
$0,630
$0,050
$0,090
+$0,425

=$4,665
7 0
3 years ago
Solve the equation.<br><br> −10x + 1 + 7x = 37
matrenka [14]
You combine like terms which are -10x and 7x and 1 and 37. Then it becomes -3x=36. x would equal to 36/-3, which is -12.
8 0
3 years ago
Read 2 more answers
Solving for Unknown Values
kondaur [170]

Answer:x=17 y=10

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • If the radius of a circle measures 2 inches, what is the measure of its diameter?
    5·1 answer
  • The segments in each figure are tangent to the circle. Find each length.
    15·1 answer
  • The cost in dollars y of producing x computer
    13·1 answer
  • Solve the following equation:
    12·2 answers
  • PLEASE HELP ASAP! Which equation is represented by the graph below? y=e^x+5 y=e^x+4 y=ln x+4 y=ln x+5
    14·2 answers
  • Which on is bigger 7/8 or 5/6
    12·1 answer
  • Kai is looking for his first job as a pharmacy technician. He prepares for the job by memorizing household, metric, and apotheca
    14·1 answer
  • What is the equation of a vertical line through the point (3, 2)?
    5·2 answers
  • Diego tried to solve the equation 13(x+15)=3
    6·1 answer
  • Mr Jones bought a snowboard. The 6% sales tax on the snowboard was $32.50. What was the total cost including the sales tax? (rou
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!