Students will explore the geometric properties and equations that define parabolas, focusing on their graphing skills. Through hands-on activities, they plot points, identify vertex, axis of symmetry, and intercepts, and draw accurate graphs of parabolic equations. This skill is essential for visualising the effects of different coefficients and constants on the shape and position of parabolas, fostering a deeper understanding of quadratic functions.

Parabolic equations represent a specific type of quadratic relationship where the variable is squared, creating a curved graph known as a parabola. Students delve into the mathematics behind parabolic equations, exploring how changes in the equation’s coefficients affect the parabola’s direction, width, and position. They will also learn to identify the vertex form of a parabola and how it simplifies the process of graphing and analysing its properties. This understanding is crucial for both theoretical mathematics and practical applications.

Students examine the diverse applications of parabolas in the real world, from physics to engineering to architecture. They learn how parabolas are used to design reflective surfaces in telescopes and headlights, optimise the structures of bridges and arches, and analyse projectile motion in sports and military technology. These examples not only show the practical relevance of understanding parabolas but also inspire students to apply their mathematical knowledge to innovate and solve problems across various disciplines.