Let P=(x,y) be a point on graph of y=x^2−6. Express the distance d from P to the point (2,0) as a function of x. please help

Answer 1

Since P = (x,y) is on the graph of y = x² - 6, P can be expressed as (x, x²-6).

So, d = √[(x - 2)² + (x² - 6 - 0)²] = √[x² - 4x + 4 + x² - 6]

d = √[2x² - 4x - 2]