SOLUTION: Let f(x) = 3x2 - 6x + 2. Find f(-2

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Question 1013261: Let f(x) = 3x2 - 6x + 2. Find f(-2
Found 3 solutions by ValorousDawn, fractalier, macston:
Answer by ValorousDawn(53) About Me  (Show Source):
You can put this solution on YOUR website!
Plug in -2 for x and solve.
3(-2)^2-6(-2)+2
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: 3%2A%28-2%29%5E2-6%2A%28-2%29%2B2 simplifies to 26
  • Text form: 3*(-2)^2-6*(-2)+2 simplifies to 26
  • Cartoon (animation) form: simplify_cartoon%28+3%2A%28-2%29%5E2-6%2A%28-2%29%2B2+%29
    For tutors: simplify_cartoon( 3*(-2)^2-6*(-2)+2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 3%2A%28-2%29%5E2-highlight_red%28+6%2A%28-highlight_red%28+2+%29%29+%29%2B2.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes 3%2A%28-2%29%5E2%2B6%2Ahighlight_green%28+2+%29%2B2.
Look at 3%2Ahighlight_red%28+%28-2%29+%29%5Ehighlight_red%28+2+%29%2B6%2A2%2B2.
Replace constants in factor: highlight_red%28+%28-2%29+%29,highlight_red%28+2+%29 with highlight_green%28+4+%29
It becomes 3%2Ahighlight_green%28+4+%29%2B6%2A2%2B2.
Look at 3%2A4%2Bhighlight_red%28+6+%29%2Ahighlight_red%28+2+%29%2B2.
Multiplied numerator integers
It becomes 3%2A4%2Bhighlight_green%28+12+%29%2B2.
Look at 3%2A4%2Bhighlight_red%28+12+%29%2Bhighlight_red%28+2+%29.
Added fractions or integers together
It becomes 3%2A4%2Bhighlight_green%28+14+%29.
Look at highlight_red%28+3+%29%2Ahighlight_red%28+4+%29%2B14.
Multiplied numerator integers
It becomes highlight_green%28+12+%29%2B14.
Look at highlight_red%28+12+%29%2Bhighlight_red%28+14+%29.
Added fractions or integers together
It becomes highlight_green%28+26+%29.
Result: 26

Universal Simplifier and Solver


Done!

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
To find f(-2), we merely substitute -2 for x in
f(x) = 3x^2 - 6x + 2
and get
f(-2) = 3(-2)^2 - 6(-2) + 2 = 12 + 12 + 2 = 26

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Just replace x with -2.
.
f%28x%29+=+3x%5E2+-+6x+%2B+2
.
f%28-2%29=3%28-2%29%5E2-6%28-2%29%2B2
f%28-2%29=3%284%29-%28-12%29%2B2
f%28-2%29=12%2B12%2B2
f%28-2%29=26