Graphs Starter Questions
Graphs Practice Worksheets
Graphs worksheets and practice questions for gcse maths including gcse foundation and gcse higher. Each graph worksheet targets a different gcse grade. Graphs worksheet 1 through to graphs worksheet 6 targets grade 3 for year 7 and year 8 students. Graphs worksheet 7 to graphs worksheet 16 target higher grades up to grade 8. Graph worksheet 1 and 2 works on simple linear equations such as y = x + 1. Graph worksheet 3 finds the gradients of lines in the first section and draws the gradient in the second section. Graphs worksheet 8 finds the equation given the gradient. Graphs worksheet 14, 15 and 16 contain questions on quadratic graphs.
Horizontal and Vertical Graphs
This section includes for you straight-line graphs, quadratic graphs and cubic graphs. The image below shows the graphs of x = -4 and x = 2. The coordinates are (-4, 4), (-4, 1), (-4, -5) and (2, 3), (2, -2), (2, -6).
The image below shows the graphs y = 3 and y = -4. The coordinates are (-5, 3), (0, 3), (5, 3) and (-6, -4), (1, -4), (3, -4).
The image below shows the graphs for y = x, y = x2, y = x3, y = |x|, y = 1/x, y = √x, y = bx, x2 + y2 = r2.
Quadratic, Cubic, Reciprocal, Exponential Graphs
When straight-line graphs are horizontal the equation for the line will start as y = "a certain number", such as y = 3, or y = 5. When straight-line graphs are vertical the equation for the line will start as x = "a certain number", such as x = 3, or x = 5. Suggested after topics include: Simultaneous Equations, Quadratic Graphs and Cubic Graphs.
The image below shows the general equation for all quadratic graphs which is y = ax2 + bx + c. The curve is a parabola which has a "U" shape. The highest power is 2, or x2. Cubic graphs are "S" shaped. The general equation for the cubic graph is y = ax3 + bx2 + cx + d. The highest power is 3.
Reciprocal graphs have the general equation y = a/x. Reciprocal graphs have two asymptotes and its highest power is - 1. Exponential graphs have the general equation y = ax . Exponential graphs have one asymptote and its highest power is x.