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

Question

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

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Video Solution

Solution Steps

00:05 Let's find the right function using our data.
00:08 We're focusing on the positive side of the graph, which means our parabola opens upwards.
00:14 This indicates a positive coefficient for X squared.
00:18 To represent a parabola, we'll use a special formula.
00:22 Here, the terms P and K both equal zero.
00:28 Let's substitute these values into the formula to find our function.
00:37 We'll then sketch the function based on intersection points and the parabola's shape.
00:43 And that's how we solve this problem!

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