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In a function f(x) = ax^2 + bx + c, what does the coefficient 'a' determine?
In a function f(x) = ax^2 + bx + c, what does the coefficient 'a' determine?
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Q1
In a function f(x) = ax^2 + bx + c, what does the coefficient 'a' determine?
The direction of the parabola's opening.
The y-intercept of the graph.
The slope of the graph.
The x-intercepts of the graph.
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The coefficient 'a' in a quadratic function determines whether the parabola opens upwards (a > 0) or downwards (a < 0).
Questions & Step-by-step Solutions
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Q
Q: In a function f(x) = ax^2 + bx + c, what does the coefficient 'a' determine?
Solution:
The coefficient 'a' in a quadratic function determines whether the parabola opens upwards (a > 0) or downwards (a < 0).
Steps: 5
Show Steps
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 greater than 0 (a > 0) or less than 0 (a < 0).
Step 4: If 'a' is greater than 0, the parabola opens upwards.
Step 5: If 'a' is less than 0, the parabola opens downwards.
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