Chapter Exam

Chapter-9 Graphs of Functions — Online MCQ Test

Q: Which of the following is the general form of a linear function?

Answer: A. y = mx + c — The linear function has the form y = mx + c, where m is the gradient and c is the y-intercept.

Q: What is the vertex form of a quadratic function?

Answer: B. y = a(x - h)² + k — The vertex form y = a(x - h)² + k directly shows the vertex at point (h, k) and the direction of opening.

Q: Which transformation moves the graph of y = x² to the right by 3 units?

Answer: B. y = (x - 3)² — Horizontal translations: subtracting a positive number from x shifts the graph right, so y = (x - 3)² shifts right by 3 units.

Q: A parabola has roots at x = 1 and x = 5. Which is the axis of symmetry?

Answer: C. x = 3 — The axis of symmetry passes through the midpoint of the roots: x = (1 + 5)/2 = 6/2 = 3.

Q: A function has a vertical asymptote at x = 2 and a horizontal asymptote at y = 1. Which function could it be?

Answer: A. y = 1/(x - 2) + 1 — y = 1/(x - 2) + 1 has a vertical asymptote when x - 2 = 0 (x = 2) and a horizontal asymptote at y = 0 + 1 = 1.

MATHS · Grade 10 · IGCSE cambridge

Practice Chapter-9 Graphs of Functions with a free chapter-wise online MCQ test for IGCSE cambridge Grade 10 MATHS. This chapter covers: Drawing and interpreting graphs of linear quadratic reciprocal and exponential functions.. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter-9 Graphs of Functions — Important Questions & Answers (FAQ)

Frequently asked questions from IGCSE cambridge Grade 10 MATHS — Chapter-9 Graphs of Functions, with answers and explanations. These are sample questions; the exam has its own separate question set.

Which of the following is the general form of a linear function?

A. y = mx + c ✓
B. y = ax² + bx + c
C. y = k/x
D. y = a^x

Answer: A. y = mx + c
The linear function has the form y = mx + c, where m is the gradient and c is the y-intercept.

What is the vertex form of a quadratic function?

A. y = mx + c
B. y = a(x - h)² + k ✓
C. y = k/x
D. y = ab^x

Answer: B. y = a(x - h)² + k
The vertex form y = a(x - h)² + k directly shows the vertex at point (h, k) and the direction of opening.

Which transformation moves the graph of y = x² to the right by 3 units?

A. y = (x + 3)²
B. y = (x - 3)² ✓
C. y = x² + 3
D. y = x² - 3

Answer: B. y = (x - 3)²
Horizontal translations: subtracting a positive number from x shifts the graph right, so y = (x - 3)² shifts right by 3 units.

A parabola has roots at x = 1 and x = 5. Which is the axis of symmetry?