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Which equation describes the pattern shown in the table?Х- 4-21y5-30O A. y = x2 – 11OB. y = x2 + 3x - 1O C. y = x2 – 1OD. y = x2 + 2x - 3O E. y=x²-x-1Which equation shows

Which equation describes the pattern shown in the table?Х- 4-21y5-30O A. y = x2 – 11OB-example-1
User RoughPlace
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1 Answer

4 votes

the equation describes the pattern shown in the table is y = x² + 2x - 3 (option D)

Step-by-step explanation:

To determine which of the equation describes the pattern shown in the table, we need to insert the values of x and confirm if we will get corresponding value of y in any of the equation.

Let's check the equations in the options: when x = -4, -2

a) y = x² – 11

when x = -4

y = (-4)² - 11

y = 16 - 11 = 5

when x = -2

y = (-2)² - 11

y = 4 - 11 = -7

equation is wrong

b) x² +3x -1

when x = -4

y = (-4)² -3(-4) - 1

y = 16 + 12 -1 = 27

when x = -2

y = (-2)² -3(-2) - 1

y = 4 + 6 -1 = 9

equation is wrong

c) y = x² – 1

when x = -4

y = (-4)² - 1

y = 16 - 1 = 15

equation is wrong

d) y = x² + 2x - 3

when x = -4

y = (-4)² +2(-4) - 3

y = 16 - 8 -3 = 5

when x = -2

y = (-2)² +2(-2) - 3

y = 4 - 4 - 3

y = -3

equation is right

e) y=x²-x-1

when x = -4

y = (-4)² -(-4) - 1

y = 16 +4 -1

y = 19

equation is wrong

Therefore, the equation describes the pattern shown in the table is y = x² + 2x - 3 (option D)

User Agil Atakishiyev
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