Notes
IIT Madras
Mathematics 🧮
Activity Questions 3.1

Activity Questions 3.1

Question 1: Which of the graphs in Figure 1 represents the following function: $y = x^2 - x + 1$?

This is a multiple choice question with four options (A, B, C, and D), each showing different graphs. The question asks students to identify which graph correctly represents the given quadratic function.

The options include:

  • Option A: Shows a parabola opening upward with a peak
  • Option B: Shows an increasing curve that levels off
  • Option C: Shows a curve that increases and then levels off
  • Option D: Shows a U-shaped parabola opening upward

This appears to be a mathematics question testing students’ understanding of quadratic functions and their graphical representations.

Solution

Question 2

Which of the graphs in Figure 1 represents the following function: $y = -x^2 + 2x + 1$?

This is a multiple choice question with four graph options:

  • Option A: Shows a downward-opening parabola
  • Option B: Shows a curve that increases and then levels off
  • Option C: Shows a curve that increases and then levels off at a different pattern
  • Option D: Shows an upward-opening parabola (U-shaped)

Solution

Question 3

For the function $y = x^2 + 10x + 1$, determine whether $y$ has a minimum or maximum value and identify it from the options given below.

This is a multiple choice question with the following options:

  • Maximum value -24
  • Minimum value -24
  • Maximum value 76
  • Neither maximum nor minimum value exists

Solution

Both questions appear to be testing knowledge of quadratic functions, their graphical representations, and their properties (such as vertex and extrema).

Solution

Solution

Solution

Solution

Solution

Activity Questions 2.13Quadratic functions

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