7
advanced-math

Find the x-coordinate of the vertex for y=5x220x+100y = 5x^2 - 20x + 100.

A

2

B

-2

C

4

D

5

Correct Answer: A

Choice A is the correct answer. We only need the x-coordinate, given by x=b/2ax = -b/2a.

  1. a=5a = 5, b=20b = -20.
  2. x=(20)/(2×5)x = -(-20) / (2 \times 5).
  3. x=20/10=2x = 20 / 10 = 2.

Choice B is incorrect because of a sign error. Choice C is incorrect because it forgets to multiply aa by 2. Choice D is incorrect because it uses aa.