Solve y+10=3x²: Finding Y-Axis Intersection Points

At which points does the fuctiony+10=3x2 y+10=3x^2 intersect the y axis?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's find where the function crosses the Y-axis.
00:12 Remember, at the X-axis, the Y value is zero.
00:16 Now, let's put X equals zero into our equation and solve for Y.
00:27 First, we need to isolate the Y variable.
00:32 This gives us the Y value at the intersection with the Y-axis.
00:36 We started with X equal to zero, remember?
00:42 And that's how we solve this problem!

Step-by-step written solution

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1

Understand the problem

At which points does the fuctiony+10=3x2 y+10=3x^2 intersect the y axis?

2

Step-by-step solution

To determine the point where the function y+10=3x2 y + 10 = 3x^2 intersects the y-axis, follow these steps:

  • Step 1: Identify that the y-axis intersection occurs where x=0 x = 0 .
  • Step 2: Substitute x=0 x = 0 into the function equation.
  • Step 3: Solve for y y .

Now, let's go through these steps:

Step 1: Set x=0 x = 0 .

Step 2: Substitute into the equation:
y+10=3(0)2 y + 10 = 3(0)^2 , which simplifies to:
y+10=0 y + 10 = 0 .

Step 3: Solve for y y :
y=10 y = -10 .

Therefore, the point of intersection with the y-axis is (0,10) (0, -10) .

3

Final Answer

(0,10) (0,-10)

Practice Quiz

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Which chart represents the function \( y=x^2-9 \)?

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