Quadratic functions and their graphsIB MYP Maths Extended: Flashcards

What these 12 flashcards ask

General form of a quadratic function?
Name the graph of a quadratic function.
What shape if a0? If a<0?
What are the roots of a quadratic?
How do you find the y-intercept?
How do you find the axis of symmetry from the roots?
How do you find the vertex?
Roots of y=x^2-9?
Roots of y=(x-2)(x+5)?
Vertex of y=x^2-6x+5?
What does the vertex of h=20t-5t^2 tell you?
Why must a graph in context sometimes be limited to some x-values?

Exam questions on Quadratic functions and their graphs

The graph of $y = x^2 - 4x - 5$ is drawn for values of $x$ from $-3$ to $7$ .
Find the equation of the axis of symmetry of the graph.2 marks
A footballer kicks a ball from the ground. Its height $h$ metres after $t$ seconds is given by $h = 20t - 5t^2$ , for $0 \le t \le 4$ .
Find the maximum height reached by the ball.2 marks
A function is defined by $f(x) = x^2 - 2x - 3$ .
Find the coordinates of the points where the graph of $f$ crosses the axes.3 marks

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).