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Makovka662 [10]
2 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]2 years ago
6 0
Horizontal translation left 1
Vertical stretch by 3
Doss [256]2 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.

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olchik [2.2K]
Well 3 is half of 6, so half of one is 1/5
5 0
3 years ago
7y-(9+4y)= -3<br> y=?<br> Rest in peace 999
jeka57 [31]

Answer:

y = 2

Step-by-step explanation:

Given

7y - (9 + 4y) = - 3 ← distribute parenthesis by - 1

7y - 9 - 4y = - 3 , that is

3y - 9 = - 3 ( add 9 to both sides )

3y = 6 ( divide both sides by 3 )

y = 2

5 0
2 years ago
Read 2 more answers
What is the equation in point-slope form of the line that passes through the point (−1, −3) and has a slope of 4?
Nimfa-mama [501]

The equation of line in point-slope form of the line that passes through the point (−1, −3) and has a slope of 4 is:

y+3=4(x+1)

Step-by-step explanation:

Given

m=4

and

Point = (x1,y1) = (-1,-3)

The general form of point-slope equation of line is:

y-y_1=m(x-x_1)\\Putting the values of m, x_1 and y_1\\y-(-3)=4(x-(-1))\\y+3=4(x+1)

Hence,

The equation of line in point-slope form of the line that passes through the point (−1, −3) and has a slope of 4 is:

y+3=4(x+1)

Keywords: Point-slope form, Slope

Learn more about equation of line at:

  • brainly.com/question/4361464
  • brainly.com/question/4390083

#LearnwithBrainly

5 0
3 years ago
A contractor charges $1,200 for 100 swat feet of roofing installed. At this rate, how much does it cost to have 1,000 square fee
Oliga [24]

Answer:

12000

Step-by-step explanation:

1200=100

x=1000

x=100*1200/100

3 0
3 years ago
The smallest multiple of 50​
trasher [3.6K]

Answer:

1

Step-by-step explanation:

One is the smallest multiple of 50. We can find this by finding all the multiples of 50. The multiples of 50 are: 1, 2, 5, 10, 25, and 50.

We can see that one is the smallest multiple because it is less than 2, 5, 10, 25 and 50. So, that means the answer to the question is 1.

Hope this helps.

6 0
2 years ago
Read 2 more answers
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