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
geniusboy [140]
3 years ago
10

What is the change that occurs to the parent function f(x) = x^2 given the function f(x) = 2(x + 2)^2 + 1.

Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0

Answer:

The graph is stretched by a factor of 2, moves 2 units to the left, and 1 unit up.

Step-by-step explanation:

The base of the quadratic function is

f(x) =  {x}^{2}

We can transform this function to look narrower or wider.

Looking narrower is termed a stretch.

This happens when a>1

Looking wider is termed a compression.

This happens when 0<a<1

We can also

g(x) = a {(x   + h)}^{2}  + k

+h moves the parent graph to the left by h units

-h moves the parent graph to the left by h units.

+ k moves the parent function up by k units

- k moves the parent function down by k units.

The change that occurs to

f(x) =  {x}^{2}

given

f(x) = 2( {x  + 2)}^{2}  + 1

is that, the graph is stretched by a factor of 2, moves 2 units to the left, and 1 unit up

Therefore the last choice is the correct answer.

You might be interested in
How many terms are in the expression?<br><br> 4x + 3y + 7z + 5<br><br> I need help ASAP!
tekilochka [14]

Answer:

4.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How do you calculate 1/5
bonufazy [111]

Answer:

0.2

Step-by-step explanation:

I hope this helps you enough.

4 0
2 years ago
Simplify the following fraction 15/35
notsponge [240]
Divide both sides by 5:
simplified = 3/7

Hope this helps!
8 0
3 years ago
Read 2 more answers
25-14+3 my friends AND I DO NOT get it! Please help us! :)
irga5000 [103]
25-14=11 
11+3=14


25+3=28
28 divided by 2=14
8 0
3 years ago
Read 2 more answers
HELP ME PLEASEEE! Ty:)
Jlenok [28]
I can help you if you mark me as braì LG
5 0
2 years ago
Other questions:
  • I need help in solving this equation. <br><br><br> 5n - 4 = 4 + 6n
    12·2 answers
  • What is (9 x 10 ^-3)^2 in scientific notation
    15·1 answer
  • 5(x+1)=4x+21 <br> solve please
    10·1 answer
  • The value of x!!!!!!!!!!!!!!!!
    5·1 answer
  • Liam had \$250$250dollar sign, 250. Then, he and his classmates bought a present for their teacher, evenly splitting the \$p$pdo
    12·1 answer
  • A regular square pyramid has base edge b, height h, and slant height l. Three expressions give the surface area, A, of this pyra
    15·1 answer
  • Which item below has the lowest cost per piece of pizza?
    7·1 answer
  • Please help
    8·1 answer
  • Each of the 492 people who came to a school football game paid $12 for a ticket. How much ticket money did the school collect?
    6·2 answers
  • From a hot-air balloon, Brody measures a 39° angle of depression to a landmark
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!