Grade 10 Examination Quiz : Quadratic Equation

Mastering quadratic equations is essential for Grade 10 students because it forms the foundation for higher-level mathematics and many real-world problem-solving skills. Understanding how to factor, complete the square, use the quadratic formula, and interpret graphs helps students develop logical thinking, analytical reasoning, and the ability to break down complex problems into manageable steps. Quadratics appear in physics, engineering, accounting, computer science, architecture, economics, and even sports sciences, so strengthening this topic opens pathways to future careers such as engineering, teaching, IT, data science, construction, aviation, business analysis, and many more fields that rely on mathematical modelling. For students preparing for national examinations, practicing quadratic equation questions online provides immediate feedback, exposes them to a wide range of question styles, and helps them learn at their own pace. Online quizzes also simulate exam-type questions, making students more confident and better prepared. By consistently solving questions and understanding where they make mistakes, Grade 10 learners can significantly improve their grades and build strong mathematical skills for their future studies and careers.

To answersthese questions refer to the Graph above.

1. Which equation best represents the parabola shown in the graph?

\( y = x^2 - 4 \)
\( y = x^2 + 4 \)
\( y = (x - 1)^2 - 3 \)
\( y = -x^2 - 4 \)

2. What are the x-intercepts of the parabola?

\( (-2, 0) \text{ and } (2, 0) \)
\( (-1, 0) \text{ and } (1, 0) \)
\( (0, -2) \text{ and } (0, 2) \)
No x-intercepts

3. What is the y-intercept of the function \( y = x^2 - 4 \)?

\( (0, -4) \)
\( (0, 4) \)
\( (0, -2) \)
\( (0, 2) \)

4. For the function \( y = x^2 - 4 \), what is the value of \( y \) when \( x = 3 \)?

\( 3 \)
\( -1 \)
\( -3 \)
\( 5 \)

5. What are the coordinates of the vertex of the parabola?

\( (2, -4) \)
\( (0, -4) \)
\( (1, -6) \)
\( (0, 4) \)

6. Which statement is true about the shape of the graph \( y = x^2 - 4 \)?

The parabola opens downward
The parabola has no minimum point
The parabola opens upward
The graph is a straight line

7. What is the gradient of the tangent to \( y = x^2 - 4 \) at \( x = 1 \)?

\( 1 \)
\( 2 \)
\( -2 \)
\( 4 \)

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