Join Miss Sarah Blake in this comprehensive episode exploring graphs and functions for GCSE Mathematics. Learn the fundamentals of linear functions with the y=mx+c formula, understanding gradients and y-intercepts. Discover quadratic functions and parabolas, including how to find turning points using completing the square and vertex formulas. Master the vertical line test to identify functions and explore real-world applications through distance-time and velocity-time graphs. The episode covers exponential and reciprocal functions, showing their relevance in science and everyday situations. Essential plotting techniques are discussed, including proper use of graph paper, reading scales accurately, and interpreting real-world data. Function transformations are explained, demonstrating how changes in equations affect graph shapes and positions. Perfect for GCSE students preparing for exams, this episode connects mathematical concepts to practical applications in physics, chemistry, economics, and daily life. Whether you're struggling with basic plotting or ready for advanced function analysis, this episode provides clear explanations and practical tips for success. Essential listening for anyone looking to improve their understanding of one of mathematics' most visual and practical topics.