MHB Help with Pre Calc: Get Answers & Guidance

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SUMMARY

The discussion focuses on solving quadratic equations in the form of $ax^2 + bx + c = 0$. It establishes that for a specific quadratic where $c = -12$, the vertex can be calculated using the formulas $-b / 2a$ and $-D / 4a$. Participants emphasize the importance of substituting known values into these formulas to derive the solutions effectively.

PREREQUISITES
  • Understanding of quadratic equations
  • Familiarity with vertex form of a quadratic
  • Knowledge of the discriminant (D) in quadratic equations
  • Basic algebraic manipulation skills
NEXT STEPS
  • Study the properties of quadratic functions
  • Learn how to calculate the vertex of a quadratic function
  • Explore the significance of the discriminant in determining the nature of roots
  • Practice solving quadratic equations using various methods, including factoring and the quadratic formula
USEFUL FOR

Students studying precalculus, educators teaching quadratic functions, and anyone seeking to improve their algebraic problem-solving skills.

Samanthalovesmath
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It's easy, let's suppose the quadratic is $ax^2 +bx +c = 0$ From the graph we can say $c= -12$ and if you know that the vertex is given by ( $-b \over 2a$ , $-D \over 4a$ )
Put the values you will get the answer.
 

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