Match the Graph: Identifying y=x² Among Four Parabola Options

Question

To which chart does the function y=x2 y=x^2 correspond?

1234

Video Solution

Solution Steps

00:00 Find the correct function according to the data
00:03 We'll use the positive domain, understanding that the parabola smiles
00:07 Meaning a positive coefficient for X squared
00:10 We'll use the formula to represent a parabola
00:16 In this case, the terms P and K equal 0
00:23 We'll substitute them and find the function
00:32 We'll draw the function according to the intersection points and type of parabola
00:38 And this is the solution to the question

Step-by-Step Solution

To solve this problem, let's go through the process of elimination to find the graph corresponding to y=x2 y = x^2 .

The function y=x2 y = x^2 is an upward-opening parabola with its vertex located at the origin point (0, 0). It is symmetric about the y-axis.

Based on our problem statements or diagrams, the given function will match with chart '2'. This chart will depict an upward-facing parabolic shape with no horizontal or vertical shifts.

Therefore, the solution to the problem is the chart labeled 2.

Answer

2

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Family of Parabolas y=(x-p)² Families of Parabolas

Question Types

Parabola of the Form y=(x-p)²: Match functions to the appropriate graphs