Question

Complete the following table using the equation: y = x squared x -3 -1 0 1 3 y Plot the points on a graph and determine which graph best represents the equation. Graph A On a coordinate plane, a parabola opens up and goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). Graph B On a coordinate plane, a parabola opens down and goes through (negative 2, negative 4), has a vertex at (0, 0), and goes through (2, negative 4). a. -9, -1, 0, -1, -9; Graph B b. 9, 1, 0, 1, 9; Graph B c. 9, 1, 0, 1, 9; Graph A d. -9, -1, 0, -1, -9; Graph A Please select the best answer from the choices provided A B C D

Answer 1

C

Explanation:

Edge 2021

Answer 2

c. 9, 1, 0, 1, 9; Graph A

Explanation:

The given equation is presented as follows;

y = x²

The values of 'x' are -3, -1, 0, 1, 3

The range of the values of 'y' are; (-3)² = 9, (-1)² = 1, 0² = 0, 1² = 1, 3² = 9

9, 1, 0, 1, 9

The completed table is presented as follows;

`\begin{array}{cc}x&y\\-3&9\\-1&1\\0&0\\1&1\\3&9\end{array}`

The values can be extended using the equation to include points, x = -2, y = (-2)² = 4, and x = 2, y = 2² = 4

To give a graph that passes through the point (-2, 4) and (2, 4)

Given that the coefficient of x² is positive, the graph opens up

Therefore, the graph that best represent the equation is c, 9, 1, 0, 1, 9; Graph A On the coordinate plane, a parabola opens up and goes through (-2, 4), has a vertex at (0, 0), and goes through (2, 4).