10 questions · Form 2 Mathematics Bab 8: Graphs of Functions
10 questions · plays in fullscreen
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. The graph of $y = 6x$ passes through $(k, 2)$. Find the value of $k$.
Answer: A
$2 = 6k \implies 2k = 6 \implies k = 3$.
2. What is the shape of the graph of a quadratic function $y = ax2 + bx + c$ when $a > 0$?
Answer: A
When the coefficient of $x2$ ($a$) is positive, the quadratic graph opens upwards (U-shape).
3. Which equation represents a linear function?
Answer: A
A linear function has a highest power of $x$ equal to 1, forming a straight line graph.
4. Given the function $y = x2 + 2x - 3$, find the y-intercept of the graph.
Answer: A
The y-intercept occurs when $x = 0$: $y = (0)2 + 2(0) - 3 = -3$.
5. If $y = 2^x$, calculate the value of $y$ when $x = 3$.
Answer: A
$y = 23 = 8$.
6. Given $y = 12x$, calculate $y$ when $x = -4$.
Answer: A
$y = 12-4 = -3$.
7. A line passes through $(0, 4)$ and $(2, 10)$. Which linear function matches this line?
Answer: A
Gradient $m = 10 - 42 - 0 = 62 = 3$. Y-intercept is 4. Equation is $y = 3x + 4$.
8. Given $y = x2 - 4$, find the value of $y$ when $x = -3$.
Answer: A
$y = (-3)2 - 4 = 9 - 4 = 5$.
9. Given $y = 2x3$, find $y$ when $x = -2$.
Answer: A
$y = 2(-2)3 = 2(-8) = -16$.
10. When scale on x-axis is 2 cm to 1 unit, what physical length represents 3 units?
Answer: A
$3 units × 2 cm/unit = 6 cm$.