Question

The table and graph both represent the same relationship. Which

equation also represents that relationship?
Х
у
-2
4
3
-1
1
2
0
0
1
NA
4
х
-2
-1
o
1
2
y = x
y = x2
y = -2x + 8
y = 2x2 + 2

Answer 1

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.

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.