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In a function f(x) = ax^2 + bx + c, what does the coefficient 'a' determine abou

Practice Questions

Q1
In a function f(x) = ax^2 + bx + c, what does the coefficient 'a' determine about the graph?
  1. The y-intercept of the graph.
  2. The direction of the parabola's opening.
  3. The x-intercepts of the graph.
  4. The slope of the graph.

Questions & Step-by-Step Solutions

In a function f(x) = ax^2 + bx + c, what does the coefficient 'a' determine about the graph?
  • Step 1: Identify the function f(x) = ax^2 + bx + c.
  • Step 2: Look at the coefficient 'a' in front of x^2.
  • Step 3: Determine if 'a' is positive or negative.
  • Step 4: If 'a' is positive, the graph (parabola) opens upwards.
  • Step 5: If 'a' is negative, the graph (parabola) opens downwards.
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