Find Y-Axis Intersections: Solving x²+3-y=0

At which points does the functionx2+3−y=0 x^2+3-y=0 intersect the y axis?

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Step-by-step video solution

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00:00 Find the intersection point of the function with the Y-axis
00:03 At the intersection point with the X-axis, Y equals 0
00:10 Substitute X=0 in our equation and solve to find the intersection point:
00:14 This is the value at the intersection point with the Y-axis
00:18 Isolate Y
00:25 This is the value at the intersection point with the Y-axis
00:30 X = 0 as we substituted at the beginning
00:33 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

At which points does the functionx2+3−y=0 x^2+3-y=0 intersect the y axis?

2

Step-by-step solution

To find where the function intersects the y-axis, we substitute x=0 x = 0 into the equation x2+3−y=0 x^2 + 3 - y = 0 .

  • Substitute x=0 x = 0 into the function: (0)2+3−y=0 (0)^2 + 3 - y = 0 .
  • Simplify: 0+3−y=0 0 + 3 - y = 0 becomes 3−y=0 3 - y = 0 .
  • Solving for y y , we get: y=3 y = 3 .

This means the function intersects the y-axis at the point (0,3) (0, 3) .

Therefore, the solution to the problem is (0,3) (0, 3) , corresponding to choice 3.

3

Final Answer

(0,3) (0,3)

Practice Quiz

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One function

\( y=-6x^2 \)

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