| quadratic
|
How to find values
of x and y for quadratic curves of the form y = ax²+b and more general
forms. Plotting graphs of equations of this form and in factorised form.
Finding the equations of a curve from a given graph. |
| cubic
|
How to find values
of x and y for cubic curves of the form y = ax³+b and more general forms.
Plotting graphs of equations of this form and in factorised form. Finding the
equations of a curve from a given graph. |
| reciprocal
|
How to find values
of x and y for reciprocal curves of the form y = a/x and y = a/x+b. Plotting
graphs of equations of this form. Finding the equations of a curve from a given
graph. |
| trig
|
Plotting sine,
cosine and tangent and key values on the graph. The graphs of the
trigonometrical functions for all angles, up to curves of the form y =
asin(bx)+c, y = acos(bx)+c and y = atan(bx)+c. |
| others
|
The graphs and
equations of circles, exponential functions, polynomials of degree 4, 5 and n
and combinations of trigonometrical functions like y =
asin(cx)+bcos(dx). |
| solving
|
Solving
ax²+bx+c = 0 and simultaneous equations y=f(x), y = g(x), where f(x) and
g(x) might be linear, quadratic, cubic or reciprocal functions. |
| gradient
|
Finding the
gradient at points on curves by drawing the tangent line and finding the
gradient of this line. Examples include quadratic, cubic, reciprocal,
trigonometrical and fourth degree curves. |
| transforming
|
The effect of the four
transformations
- y = f(x)+a
- y = f(ax)
- y = f(x+a)
- y = af(x)
on the graph of y = f(x), where
f(x) is either a linear, quadratic or trigonometrical function. |
Curves summary
