Find y = x² Shifted Up 10 Units: Function Transformation Question

Choose the equation that corresponds to the function

$y=x^2$

moved 10 spaces up.

To solve this problem, we must adjust the given function $y = x^2$ by moving it 10 units upwards. This transformation affects only the constant in the quadratic equation.

Let's consider the necessary steps:

• Step 1: Recognize that the original function is $y = x^2$.
• Step 2: Calculate the new function after moving 10 units upwards by adding 10 to the original formula. Thus, our new equation becomes $y = x^2 + 10$.
• Step 3: Confirm this result aligns with one of the provided answer choices. Reviewing the choices, we see:
  Choice 1: $y = x^2 + 10$
  Choice 2: $y = x^2 - 10$
  Choice 3: $y = x^2$
  Choice 4: $y = 10x^2$
• Step 4: Verify the correct choice is $y = x^2 + 10$, which corresponds to moving the original function 10 units up.

Therefore, the equation of the function moved 10 spaces up is $y = x^2 + 10$.