In a quadratic equation, if the coefficient of x^2 is negative, what can be infe

Practice Questions

Q1
In a quadratic equation, if the coefficient of x^2 is negative, what can be inferred about the graph?
  1. It opens upwards.
  2. It opens downwards.
  3. It has no real roots.
  4. It is a straight line.

Questions & Step-by-Step Solutions

In a quadratic equation, if the coefficient of x^2 is negative, what can be inferred about the graph?
  • Step 1: Understand what a quadratic equation is. It is usually in the form of ax^2 + bx + c, where a, b, and c are numbers.
  • Step 2: Identify the coefficient of x^2, which is 'a'.
  • Step 3: Check if 'a' is negative. A negative number is less than zero.
  • Step 4: Know that if 'a' is negative, the shape of the graph is a parabola.
  • Step 5: Learn that a parabola with a negative 'a' opens downwards, like an upside-down U.
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