My Learning Cart
?
Categories
Account

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

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: In a function f(x) = ax^2 + bx + c, what does the value of \'a\' determine?

Options:

  1. The direction in which the parabola opens.
  2. The x-intercepts of the graph.
  3. The y-intercept of the graph.
  4. The maximum value of the function.

Correct Answer: The direction in which the parabola opens.

Solution: 

\'a\' determines the direction of the parabola; if \'a\' is positive, it opens upwards, and if negative, it opens downwards.

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

Practice Questions

Q1
In a function f(x) = ax^2 + bx + c, what does the value of 'a' determine?
  1. The direction in which the parabola opens.
  2. The x-intercepts of the graph.
  3. The y-intercept of the graph.
  4. The maximum value of the function.

Questions & Step-by-Step Solutions

In a function f(x) = ax^2 + bx + c, what does the value of 'a' determine?
  • 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 parabola opens upwards.
  • Step 5: If 'a' is negative, the parabola opens downwards.
  • Quadratic Functions – Understanding the role of coefficients in the standard form of a quadratic function.
  • Parabola Orientation – The effect of the coefficient 'a' on the direction in which the parabola opens.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks