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
Select all the perfect squares.<br> 9<br> 41<br> 81<br> 144<br> 150
quester [9]

Answer:

9, 81, 144

Step-by-step explanation:

6 0
3 years ago
MATH!!!
kozerog [31]

Answer:

210 Hope it helps! if you have any other questions I can help

6 0
3 years ago
Rachel jogged along a trail that was 1/4 (fraction) of a mile long. She jogged along the trail 8 times. How many miles did Rache
OverLord2011 [107]
1/4+1/4+1/4+1/4+1/4+1/4+<span>1/4+1/4 = 8 Miles

1/4+1/4 = 1/2 Mile

1/2+1/2 = 1 Mile

1+1 = 2 Miles</span>
5 0
3 years ago
Read 2 more answers
angie has 12 feet if string.She will cut the string into equal lengths of 5 inches each.How much string will be left after she c
Dominik [7]
12 ÷ 5 = 2.4. So there will be 0.4 string left.
3 0
3 years ago
The sales tax rate is 4.3064.306​% for the city and 44​% for the state. Find the total amount paid for 33 boxes of chocolates at
svp [43]

Answer:

The Total amount of of 33 boxes of chocolates including taxes is $838.358

Step-by-step explanation:

Given as :

The sales tax rate for city = 4.306%

The sales tax rate for the state = 44%

Total number of boxes = 33

The price of each chocolates = $17.13

So , The price of 33 boxes of chocolates = $17.13 × 33

I.e The price of 33 boxes of chocolates = $565.29

Now total tax including state and city =  4.306% + 44% = 48.306 %

So, The tax amount paid for 33 boxes of chocolates = 48.306 % of $565.29

∴    The tax amount paid for 33 boxes of chocolates = 48.306 % × $565.29

                                                                       = 0.48306× $565.29

                                                                       = $273.068

∴ The Total amount of of 33 boxes of chocolates including taxes = $565.29 +  $273.068 = $838.358

Hence The Total amount of of 33 boxes of chocolates including taxes is $838.358 . Answer

4 0
3 years ago
Other questions:
  • Q.15 - Please Help, I will give Brainliest!!!!
    11·2 answers
  • In the equation, 1/4n+5=51/2 what is n equal to?
    10·2 answers
  • Complete the tree map by using the review words.
    13·1 answer
  • How do I write the rule for the nth term of the sequence -4, 8, -12, 16?
    8·1 answer
  • Four more than a number tripled
    12·1 answer
  • What is 10p-3= 2(12+4p)-7
    14·2 answers
  • A red card is drawn from a standard deck of 52 playing cards. If the red card is not replaced, find the probability of drawing a
    6·1 answer
  • Find the area of parallelogram with base b and height h<br> b=82.cm<br> h=16.6cm
    7·1 answer
  • A car manufacturer determines thats is profit ,p,in thousands of pesos, can be modeled by the function p(x)=0.00125x4+x-3,where
    5·1 answer
  • 7.5x(D-2.5)for D=3.5
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!