GCSE Secondary Maths Age 13-17 - Graphs: Graphs - Explained

The video tutorial covers completing a table of values for the quadratic equation y = x^2 - 2x - 1, plotting its graph, and solving the equation by finding intersections with a straight line. The instructor emphasizes the symmetry of the parabola and provides step-by-step guidance on plotting points and drawing curves. The tutorial concludes with solving the equation graphically, highlighting the importance of understanding these concepts for exam success.

What is the value of y when x = 4 for the equation y = x^2 - 2x - 1?

• 7

• 5

• -1

• 3

Why is it advised to start plotting from the positive end when completing the table of values?

• It is a standard rule in mathematics

• Negative numbers are not allowed

• To ensure symmetry in the parabola

• Because positive numbers are easier to calculate

When plotting the graph of y = x^2 - 2x - 1, why should you avoid using a ruler?

• A ruler is not precise enough

• The graph should be a curve, not straight lines

• Using a ruler is against exam rules

• It is faster to draw freehand

What is the purpose of plotting three points when drawing a straight line graph?

• To ensure the line is straight

• To use more graph paper

• To check for calculation errors

• To make the graph look better

How do you find the solution to the equation x^2 - 2x - 1 = x + 3 using the graph?

• By calculating the vertex of the parabola

• By identifying the intersection points of the parabola and the straight line

• By finding the x-intercepts of the parabola

• By using the quadratic formula

What are the x-values where the parabola y = x^2 - 2x - 1 intersects the line y = x + 3?

• x = 1 and x = -3

• x = 2 and x = -2

• x = 4 and x = -1

• x = 3 and x = 0

Why is it beneficial to practice questions involving quadratic equations and graphs?

• They are the only type of questions in exams

• They require no calculations

• They frequently appear in exams

• They are easy to solve