Question
Asked Oct 30, 2019
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Let f(x) -2x2-12x+ 3.
Find the vertex of the parabola. Find the Maximum or Minimum Value. State the Range of the Function.
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Let f(x) -2x2-12x+ 3. Find the vertex of the parabola. Find the Maximum or Minimum Value. State the Range of the Function.

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Expert Answer

Step 1

Consider the given parabola

f(x)=-2x2-12x+3
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f(x)=-2x2-12x+3

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Step 2

Now compare with the standard parabola equation

ax2bxc
-b
Then x coordinate of the vertex of parabola
2a
So a--2 and b--12
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ax2bxc -b Then x coordinate of the vertex of parabola 2a So a--2 and b--12

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Step 3

Then  x – coordinate of...

-(-12)
2(-2)
12
-4
3
Then y - coordinate of the vertex of the parabola
y 2(-3)-12(-3) +3
=-18+36+3
_
- 21
So vertex of the parabola (-3,21)
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-(-12) 2(-2) 12 -4 3 Then y - coordinate of the vertex of the parabola y 2(-3)-12(-3) +3 =-18+36+3 _ - 21 So vertex of the parabola (-3,21)

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Math

Algebra

Polynomials