Answer:
D = SQRT (x^4 + 17x^2 + 64) This is the distance as a function of x
Step-by-step explanation:
This problem uses the Pythagorean Theorem to determine the length of a hypotenuse of a right triangle.
The base of the triangle goes x distance along the x-axis, then y distance up to the point in question. What is the distance (the hypotenuse of that triangle) as a function of x?
D = SQRT (x^2 + y^2)
D = SQRT (x^2 + (x^2+8)^2) (substitute for y)
D = SQRT (x^2 + x^4 + 16x^2 + 64) (expand using FOIL)
D = SQRT (x^4 + 17x^2 + 64) (revise order, collect terms)
This is the distance as a function of x
