Graphs And Equations Flashcards
How would you ‘find the minimum value’?
When you have completed the square, find the minimum value by making the bracket equal to zero.
Where is the minimum/maximum point?
Halfway between the roots
What is the same as saying ‘one root’
Equal roots
When solving simultaneous equations, what do you do if one is linear and the other is quadratic?
Isolate a variable (x or y) in the linear equation then SUBSTITUTE into the quadratic and solve
When solving simultaneous equations, number of solutions equals…
Number of intersections
What flips the inequality sign?
Multiplying or diving by a negative number
How do you draw the graph of an inverse function?
Reflect f(x) in the line y=x
How do you find the domain and range of the inverse function?
SWAP
Domain of f(x) is range of inverse
Range of f(x) is domain of inverse
Length of a line on a graph?
Use Pythag, a^2 + b^2 = c^2
Parallel lines have an equal..
Gradient
The gradient of a perpendicular line is
-1/other gradient
The angle in a semi-circle is
A right angle
A circle with centre (0,0) and radius r is shown by parametric equations…
x = r cos@ and y = r sin@
A circle with centre (a,b) is defined by parametric equations…
x = r cos@ + a and y = r sin@ + b
What are parametric equations?
Where x and y are simply split up into forms such as y=2t and x=3-t
