# Homework

## 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)