Web Analytics

Questions › Math

Math Asked by a SnapAndSolve user · about 10 hours ago

Consider the function f(x) = 2x² + 10x − 12. Select the equivalent form of f(x) written in both factored...

Consider the function f(x) = 2x² + 10x − 12. Select the equivalent form of f(x) written in both factored form AND vertex form.
Select 2 correct answer(s)
f(x) = (2x + 1)(x − 12)
f(x) = 2(x + 1)(x − 6)
f(x) = 2(x − 1)(x + 6)
f(x) = 2(x − 5)² − 6
f(x) = 2(x + 2.5)² − 24.5
f(x) = 2(x + 2.5)² − 12.25

Answer

Select the third and fifth options.

  1. Factored form: f(x) = 2(x − 1)(x + 6), since 2(x² + 5x − 6) = 2x² + 10x − 12.
  2. Vertex form: f(x) = 2(x + 2.5)² − 24.5, since completing the square gives 2[(x + 2.5)² − 6.25] − 12 = 2(x + 2.5)² − 24.5.

Have a similar question?

Snap a photo of your homework and get a step-by-step answer in seconds. You can ask follow-up questions until it makes sense.

Solve my question free Math help Find a math tutor

More math questions