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
A soda machine takes 3 seconds to fill a 15-ounce cup. If t represents the time in seconds, which equation can you use to find h
Svet_ta [14]

Information we know:

a 15 ounce cup takes 3 second to fill

determine variables:

x=3

y=15

rate:

y/x=3/15= 0.2

fixture an equation:

y=kx

y=0.2x

plug in 40 for x:

y=0.2(40)

=8

Thus, it should take 8 seconds to fill a 40-ounce cup of soda.

8 0
3 years ago
Read 2 more answers
How do you round 0.90 to the thousandths place
valentina_108 [34]
Move the decimal to right 3 times
7 0
3 years ago
Read 2 more answers
ANSWER PLEASE...
liraira [26]

Answer: The median is 28208 the mean is 28234.6

Step-by-step explanation:

The mode is the number that is repeated the most there can be more than one mode.

4 0
3 years ago
Read 2 more answers
Identify the mean and standard deviation of the graph
fgiga [73]
The answer is C, mean =100 and standard deviation=15
5 0
3 years ago
I Need Help Please And This Is Due In 1 Hour
alex41 [277]

So the first one is 1 square meter of ceiling, and it says 1 square meter of cieling is 10.75. <em>So the first one is just that, 10.75</em>

The second one says 10 square meters, so just multiply 10.75, by 10.

In which case you get <em>107.5.</em> So that's the answer.

Third one, it gives you how many ceiling tiles you have. So you divide the 100 tiles by 10.75, which gives you 9.30232558, which becomes <em>9.3</em>

I'm sure you can figure out the last one.

7 0
3 years ago
Other questions:
  • three trigonometric functions for a given angle are shown below csc theta = 13/12, sec theta = -13/5, cot theta = -5/12 what are
    10·2 answers
  • Y - 9 = - (x+2) in slope Intercept form
    13·2 answers
  • WILL GIVE BRAINLEIST NEED TO TURN IN BY 9 P.M. PLS HURRY SUPER EASY.
    11·1 answer
  • A special discount was offered to the employees of Ryan's, a lead ing men's store. Employees were given their employee discount
    10·1 answer
  • If a surface area of the Earth is about 196,9000,000 square miles, about how many square miles are covered in water
    8·1 answer
  • 100 POINTS!!!
    13·1 answer
  • If y = x^3 + x<br> please help! :)
    14·1 answer
  • HELP FAST giving 5 stars
    9·1 answer
  • -2y + 6 = -12<br><br> what is the answer??
    7·2 answers
  • What is the value of x in the equation below?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!