Math, asked by Freest, 5 months ago

complete the tables below and graph on the same coordinate plane then analyze the relationship between the graphs

Answers

Answered by amitnrw
12

Given : Different Equations of Parabola

for complete Question : https://brainly.in/question/28239176

To Find : Fill the below details:

Domain    

Range      

opening of parabola  

Vertex  

Axis of symmetry  

x - intercept  

y intercept    

Solution:

y = - 2x²

Domain    ∈ R

Range      (-∞ , 0]

opening of parabola - Vertical Downward

Vertex  = ( 0 , 0)

Axis of symmetry   y axis  ( x = 0)

x - intercept    (0 , 0)

y intercept      (0 , 0)

 

y =  -  x² + 4

Domain    ∈ R

Range      (-∞ , 4]

opening of parabola - Vertical Downward

Vertex  = ( 0 , 4)

Axis of symmetry   y axis  ( x = 0)

x - intercept    (-2 , 0) , ( 2 , 0)

y intercept      (0 , 4)

y =  (x+1)²

Domain    ∈ R

Range      [0 , ∞)

opening of parabola - Vertical upward

Vertex  = ( -1 , 0)

Axis of symmetry   x= -1   parallel to y axis

x - intercept    (-1 , 0)

y intercept      (0 , 1)

y = 2x² - 4x + 4 -= 2(x - 1)² + 2

Domain    ∈ R

Range      [2 , ∞)

opening of parabola - Vertical upward

Vertex  = ( -1 , 2)

Axis of symmetry   x=  1   parallel to y axis

x - intercept    None

y intercept      (0 , 4)

Learn More:

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Attachments:
Answered by parthu3347
2

Answer:

have seen it

analyzed it

thank you

Step-by-step explanation:

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