Find Y-Axis Intersection of y=(x+4)² Quadratic Function

Find the intersection of the function

y=(x+4)2 y=(x+4)^2

With the Y

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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 Y-axis X=0
00:06 Therefore, substitute X=0 and solve to find the intersection point with Y-axis
00:16 This is the Y value at the intersection point, substitute X=0 as we did at the point
00:25 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Find the intersection of the function

y=(x+4)2 y=(x+4)^2

With the Y

2

Step-by-step solution

To solve this problem, we will find the intersection of the function with the Y-axis by following these steps:

  • Step 1: Recognize that the intersection with the Y-axis occurs where x=0 x = 0 .
  • Step 2: Substitute x=0 x = 0 into the function y=(x+4)2 y = (x+4)^2 .
  • Step 3: Perform the calculation to find the y-coordinate.

Now, let's solve the problem:

Step 1: Identify the Y-axis intersection by setting x=0 x = 0 .
Step 2: Substitute x=0 x = 0 into the function:

y=(0+4)2=42=16 y = (0+4)^2 = 4^2 = 16

Step 3: The intersection point on the Y-axis is (0,16)(0, 16).

Therefore, the solution to the problem is (0,16)(0, 16).

3

Final Answer

(0,16) (0,16)

Practice Quiz

Test your knowledge with interactive questions

Find the intersection of the function

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

With the X

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