Verify Point (6,36) on the Function y = x²: Coordinate Check

Does the function y=x2 y=x^2 pass through the point where y = 36 and x = 6?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Does the point exist?
00:05 Let's substitute appropriate values according to the given data, and solve to find the point
00:11 Let's calculate the exponent
00:15 We can see that the point exists
00:20 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Does the function y=x2 y=x^2 pass through the point where y = 36 and x = 6?

2

Step-by-step solution

To determine if the function y=x2 y = x^2 passes through the point (6,36) (6, 36) , follow these steps:

  • Step 1: Identify the given point and function. We have x=6 x = 6 and we need to check if y=36 y = 36 when y=x2 y = x^2 .
  • Step 2: Substitute x=6 x = 6 in the function y=x2 y = x^2 :
    y=62=36 y = 6^2 = 36 .
  • Step 3: Compare the calculated y y value (36) to the given value (36).

Since the calculated value of y y is equal to the given value, the function y=x2 y = x^2 indeed passes through the point (6,36) (6, 36) .

Therefore, the answer is Yes.

3

Final Answer

Yes

Practice Quiz

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What is the value of y for the function?

\( y=x^2 \)

of the point \( x=2 \)?

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