Finding Y-Intercept: Substituting x=0 into Equations

To find the y axis intercept, you substitute x=0 x=0 into the equation and solve for y.

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Step-by-step video solution

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00:00 To find the intersection point with the Y-axis, we substitute X = 0?
00:03 Let's draw any parabola that intersects with the Y-axis
00:21 This is the line where X = 0 (Y-axis)
00:25 Therefore, to find the intersection point with the Y-axis, we substitute X = 0
00:28 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

To find the y axis intercept, you substitute x=0 x=0 into the equation and solve for y.

2

Step-by-step solution

To determine if the given statement is true, consider the equation of the parabola y=(xp)2 y = (x - p)^2 . The y-intercept occurs where the parabola crosses the y-axis, which is at x=0 x = 0 .

Step 1: Substitute x=0 x = 0 into the equation:

y=(0p)2=p2 y = (0 - p)^2 = p^2

Step 2: Calculate the y-intercept:

The y-intercept of the parabola is y=p2 y = p^2 .

Conclusion: The statement "To find the y-axis intercept, you substitute x=0 x = 0 into the equation and solve for y y " is indeed True, as applying this method correctly determined the y-intercept for the given form of a parabola. Therefore, the answer to the problem is True.

3

Final Answer

True

Practice Quiz

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Find the intersection of the function

\( y=(x-2)^2 \)

With the X

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