text: # Search by Topic
  
  #### Resources tagged with Graph sketching similar to PCDF:
  
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  ### There are 27 results
  
  Broad Topics > Functions and Graphs > Graph sketching
  
  ### Rational Request
  
  ##### Age 16 to 18 Challenge Level:
  
  Can you make a curve to match my friend's requirements?
  
  ### Curvy Catalogue
  
  ##### Age 16 to 18 Challenge Level:
  
  Make a catalogue of curves with various properties.
  
  ### Tangled Trig Graphs
  
  ##### Age 16 to 18 Challenge Level:
  
  Can you work out the equations of the trig graphs I used to make my pattern?
  
  ### A Close Match
  
  ##### Age 16 to 18 Challenge Level:
  
  Can you massage the parameters of these curves to make them match as closely as possible?
  
  ### Area L
  
  ##### Age 16 to 18 Challenge Level:
  
  By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?
  
  ### Witch of Agnesi
  
  ##### Age 16 to 18 Challenge Level:
  
  Sketch the members of the family of graphs given by y = a^3/(x^2+a^2) for a=1, 2 and 3.
  
  ### What's That Graph?
  
  ##### Age 14 to 16 Challenge Level:
  
  Can you work out which processes are represented by the graphs?
  
  ### How Does Your Function Grow?
  
  ##### Age 16 to 18 Challenge Level:
  
  Compares the size of functions f(n) for large values of n.
  
  ### Folium of Descartes
  
  ##### Age 16 to 18 Challenge Level:
  
  Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.
  
  ### Maltese Cross
  
  ##### Age 16 to 18 Challenge Level:
  
  Sketch the graph of $xy(x^2 - y^2) = x^2 + y^2$ consisting of four curves and a single point at the origin. Convert to polar form. Describe the symmetries of the graph.
  
  ### Pitchfork
  
  ##### Age 16 to 18 Challenge Level:
  
  Plot the graph of x^y = y^x in the first quadrant and explain its properties.
  
  ### Slide
  
  ##### Age 16 to 18 Challenge Level:
  
  This function involves absolute values. To find the slope on the slide use different equations to define the function in different parts of its domain.
  
  ### Whose Line Graph Is it Anyway?
  
  ##### Age 16 to 18 Challenge Level:
  
  Which line graph, equations and physical processes go together?
  
  ### Curve Match
  
  ##### Age 16 to 18 Challenge Level:
  
  Which curve is which, and how would you plan a route to pass between them?
  
  ### Back Fitter
  
  ##### Age 14 to 16 Challenge Level:
  
  10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?
  
  ### Guess the Function
  
  ##### Age 16 to 18 Challenge Level:
  
  This task depends on learners sharing reasoning, listening to opinions, reflecting and pulling ideas together.
  
  ### Quartics
  
  ##### Age 16 to 18 Challenge Level:
  
  Investigate the graphs of y = [1 + (x - t)^2][1 + (x + t^)2] as the parameter t varies.
  
  ### Scientific Curves
  
  ##### Age 16 to 18 Challenge Level:
  
  Can you sketch these difficult curves, which have uses in mathematical modelling?
  
  ### Cocked Hat
  
  ##### Age 16 to 18 Challenge Level:
  
  Sketch the graphs for this implicitly defined family of functions.
  
  ### Spot the Difference
  
  ##### Age 16 to 18 Short Challenge Level:
  
  If you plot these graphs they may look the same, but are they?
  
  ### Sine Problem
  
  ##### Age 16 to 18 Challenge Level:
  
  In this 'mesh' of sine graphs, one of the graphs is the graph of the sine function. Find the equations of the other graphs to reproduce the pattern.
  
  ### Curve Fitter
  
  ##### Age 16 to 18 Challenge Level:
  
  Can you fit a cubic equation to this graph?
  
  ### Bio Graphs
  
  ##### Age 14 to 16 Challenge Level:
  
  What biological growth processes can you fit to these graphs?
  
  ### Reaction Types
  
  ##### Age 16 to 18 Challenge Level:
  
  Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.
  
  ### Ideal Axes
  
  ##### Age 16 to 18 Challenge Level:
  
  Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging
  
  ### Squareness
  
  ##### Age 16 to 18 Challenge Level:
  
  The family of graphs of x^n + y^n =1 (for even n) includes the circle. Why do the graphs look more and more square as n increases?
  
  ### Polar Flower
  
  ##### Age 16 to 18 Challenge Level:
  
  This polar equation is a quadratic. Plot the graph given by each factor to draw the flower.