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
Makovka662 [10]
3 years ago
13

How is the graph of y=3(x+1)^2 related to its parent function, y=x^2

Mathematics
2 answers:
makkiz [27]3 years ago
6 0
Horizontal translation left 1
Vertical stretch by 3
Doss [256]3 years ago
5 0

Answer:

The graph of y=3(x+1)^2 can transformed by the parent function y=x^2. The graph of parent function will shift 1 unit left and vertically stretched by factor 3.

Step-by-step explanation:

The parent function is

y=x^2

This function can be transformed as

y=a(x+b)^2+c

Where a represents vertical stretch and compression, b represents horizontal shift and c represents vertical shift.

If a>0, then it shows vertical stretch and if a<0 then it shows vertical compression.

If b>0, then the graph of parent function shifts left by b units and if b<0 then the graph of parent function shifts right by b units.

If x>0, then the graph of parent function shifts upward by c units and if c<0 then the graph of parent function shifts downward by c units.

The given function is

y=3(x+1)^2

The value of a,b and c are 3, 1 and 0 respectively.

Therefore the graph of parent function will shift 1 unit left and vertically stretched by factor 3.

You might be interested in
Subtract 7x+3 from 2x-7
AysviL [449]

Subtract 7x+3 from 2x-7

(2x - 7) - (7x + 3) =

2x - 7 - 7x + 3

-5x -4

6 0
3 years ago
Two Questions please help and explain
ozzi
Question #2
Erica will have to work for 14 hours in order to buy her sneakers.
How to solve:
You subtract $31 from $150 which equals to $119
You multiply 8.50 (which is the amount of money she gets paid every hour) by the answers they gave you.
8.50 multiplied by 14 is 199
Erica had to work 14 hours to make $199

Your answer is D) 14
4 0
3 years ago
Read 2 more answers
Which graph shows this system of equations?
SashulF [63]

Answer:

I believe it is B tell me if I am wrong please

8 0
3 years ago
3.53 divided by 51<br> 24.2 divided by 42<br> 9.13 divided by 23<br> 79.2 divided by 39
patriot [66]

Answer:

1. 0.0692156863

2. 0.5761904762

3. 0.3969565217

4. 2.030769231

Step-by-step explanation:

5 0
3 years ago
An online furniture store sells chairs for $100
Sati [7]

Answer:

13 3/4

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What is a 75/25 mortgage
    14·2 answers
  • What is the first quartile of the data set: {13, 15, 19, 35, 25}
    7·2 answers
  • Solve for equations<br><br> -2yx+3x-2yx+3x
    9·2 answers
  • - 16(x - 2)² – 25=0​
    11·1 answer
  • cleats and socks cost $50 total. if the cleats cost $49 more than the socks, how much do they each cost
    6·1 answer
  • PLEASE HELP ME ASAP THIS IS DUE TONIGHT!!!!
    14·1 answer
  • What is the exponent on 10 when you write 41,200 in scientific notation?
    7·2 answers
  • Rick serves his community as a firefighter. he works for a full 24 hours and then is off for the next 48 hours before his next 2
    8·2 answers
  • What is the greatest common prime factor of 24 and 32?
    15·1 answer
  • Kwasi, Atsu and Kojo shared a profit of 500.00 Ghana Cedis in the ratio 1:4:3respectively. How much did Atsu get​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!