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lys-0071 [83]
3 years ago
8

Rewrite the function f(x)=-2(x+2)^2+6 in the form f(x)=ax^2+bx+c

Mathematics
1 answer:
Romashka [77]3 years ago
8 0

Answer:

f(x) = -2x² - 8x - 2

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Expand by FOIL (First Outside Inside Last)
  • Standard Form: f(x) = ax² + bx + c
  • Vertex Form: f(x) = a(bx + c)² + d

Step-by-step explanation:

<u>Step 1: Define function</u>

Vertex Form: f(x) = -2(x + 2)² + 6

<u>Step 2: Find Standard Form</u>

  1. Expand by FOILing:                         f(x) = -2(x² + 4x + 4) + 6
  2. Distribute -2:                                     f(x) = -2x² - 8x - 8 + 6
  3. Combine like terms (constants):     f(x) = -2x² - 8x - 2
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Step-by-step explanation:

For the standard form equation to model the values in the table, each value of x in the table should give the matching the y value when substituted into the equation. We will test each equation:

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This does not give 4 as the answer and is not a solution.

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<u>Y=4x^2-3x-6 for (-2,4)</u>

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This does not give 4 as the answer and is not a solution.

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