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

Question

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

Video Solution

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.

Answer

Yes