10
algebra

Solve for xx: y=a(x−h)2+ky = a(x - h)^2 + k (Note: This involves a square root, technically non-linear but good practice for rearranging)

A

x = h + (y - k) / a

B

x = h ± √((y - k) / a)

C

x = (y - k - a) / h

D

x = √((y - k) / a) - h

Correct Answer: B

Choice Dhoice A is the correct answer.

  1. Subtract k: y−k=a(x−h)2y - k = a(x - h)^2
  2. Divide by a: y−ka=(x−h)2\frac{y - k}{a} = (x - h)^2
  3. Square Root: ±y−ka=x−h\pm\sqrt{\frac{y - k}{a}} = x - h
  4. Add h: x=h±y−kax = h \pm \sqrt{\frac{y - k}{a}}

Choice Dhoice B is incorrect because missing square root.

Choice Dhoice C is incorrect because sign error on h.

Choice Dhoice D is incorrect because algebra error.

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Linear Functions Set 37