Test Session Chapter 3 Theory of Quadratic Functions (1st Year Mathematics)

Multiple Choice Questions (MCQs)

Short Answer Questions

Quadratic Formulas

Standard Form:

f(x) = ax² + bx + c

a ≠ 0

Vertex Form:

f(x) = a(x – h)² + k

Vertex: (h, k)

Quadratic Formula:

x = [-b ± √(b² – 4ac)] / 2a

Discriminant:

D = b² – 4ac

D > 0: Two real roots

D = 0: One real root

D < 0: No real roots

Vertex Coordinates:

h = -b/(2a)

k = f(h)

Quadratic Equation Solver

Coefficient a:

Coefficient b:

Coefficient c:

Vertex Calculator

Coefficient a:

Coefficient b:

Coefficient c:

Detailed Answer Questions

Question 1 (5 marks)

Find the inverse of the quadratic function f(x) = x² + 6x + 4, for x < -3. Also find its domain and range.

Question 2 (5 marks)

Solve the absolute value quadratic equation: |5x² – 7x + 2| = x² – x + 1

Question 3 (5 marks)

By completing the square, find the minimum value of f(x) = x² + 8x + 20 and describe the transformation from the parent function.

Note: Answer any 2 questions. Each question carries 5 marks.

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