Question

The table and graph both represent the same relationship. Which

Answer 1

Answer:

We conclude that all the points of the table satisfy the equation y = x²

Hence, the option containing the equation y =  x² is true.

The graph of y =  x² is also attached below.

Step-by-step explanation:

Given the table

x             y

-2           4

-1             1

0            0

1             1

2            4

Let us substitute the x-values of the table in the equation

y = x²

plun in x = -2

y = (-2)² = 4

so the point (2, 4) lies on the graph of y =  x²

y = x²

plun in x = -1

y = (-1)² = 1

so the point (-1, 1) lies on the graph of y =  x²

y = x²

plun in x = 0

y = (0)² = 0

so the point (0, 0) lies on the graph of y =  x²

y = x²

plun in x = 1

y = (1)² = 1

so the point (1, 1) lies on the graph of y =  x²

y = x²

plun in x = 2

y = (2)² = 4

so the point (2, 4) lies on the graph of y =  x²

Therefore, we conclude from the above calculations that all the points of the table satisfy the equation y = x²

Hence, the option containing the equation y =  x² is true.

The graph of y =  x² is also attached below.