Graphing and Solving Quadratic Equations
This worksheet covers identifying and graphing quadratic functions, and finding key features from equations and graphs, focusing on monic equations with integer roots. Total: 40 marks.
Section A: Key Terminology and Properties
Complete the sentences and choose the correct option for the questions below.
The shape of the graph of a quadratic equation is called a ________.
For the parabola with the equation
The turning point of a parabola, which can be a maximum or minimum, is called the ________.
The vertical line that divides a parabola into two symmetrical halves is known as the axis of ________.
The points where the parabola intersects the x-axis are called the x-intercepts or the ________ of the equation.
Section B: From Equation to Features
Find the features of the quadratic equations given below.
Section C: Analysing Graphs of Parabolas
Use the graphs to answer the following questions.