To determine which points lie on the graphs of the equations given, we need to evaluate each point by substituting its x-value into the equation and seeing if it results in the corresponding y-value.
The equations in question are:
- y = x²
- y = x²
Since both equations are the same, we can focus on just one of them, y = x². This is a standard parabola opening upwards with its vertex at the origin (0,0).
For each point, we perform the following steps:
- Substitute the x-coordinate of the point into the equation to find y.
- Check if the calculated y-coordinate matches the y-coordinate of the point.
If a point satisfies the equation, it lies on the graph of that equation.
For example, let’s check the point (1, 1):
- Substituting x = 1 gives us y = 1² = 1, which matches the point (1, 1).
Thus, (1, 1) is on the graph.
Repeat this process for each of the provided points, and you’ll be able to identify which of them are on the graphs of both equations.