## Friday 27 October 2017

### Prepare for First half Autumn term assessment

- Simplifying expressions with surds,
- Simplifying expressions with indices
- Rationalising the denominator of a fraction
- Solving quadratics of the form ax^2 +bx + c including with a less than zero using all three methods
- Using the discriminant to determine if a line given its equation is a tangent, chord or does not touch a quadratic curve given its equation
- Determining the turning point of a quadratic function
- Sketching the graph of a quadratic function
- Finding the points of intersection of a line and a quadratic curve
- Determining the equation of a line passing through two given points
- Determining the equation of a line perpendicular to another line and the point of intersection
- Solving geometry problems of lines and circle on a coordinate a pair of coordinate axes

Use the objectives sheet of 18 October, item number 7 on that sheet and the Investigating Transformation of Functions link in the Graphs on Desmos section of the site. You need to determine the effects of the transformations;

- af(x) stretching y axis
- f(a) compressing x axis
- f(x + h)
- f(x) +k
- -f(x)
- f(-x)