Question

the table and grab both represent the same relationship. Which equation also represents the relationship?

Answer 1

that would be y=x^2 as it is a parent function

Answer 2

Fourth option y = x²

Explanation:

It is clear from the graph that parabola passes through origin, which is it's vertex and line of symmetry is y-axis.

So the equation of the parabola will be y = (x - 0)² + 0

This equation of the parabola is in the vertex form [ y = (x - h)² + k]

Therefore, equation of the parabola will be y = x²

This equation is true for the given values of x and y in the table.

For (-2, 4) ⇒ 4 = (-2)²

For (-1, 1) ⇒ 1 = (-1)²

Fourth option y = x² is the answer.