Quadratic Functions

Quadratic relationships

Identify key features of quadratics

Interpret key features of quadratic graphs

Graph basic quadratics

Transformations on quadratic graphs

Transformations on quadratic equations

Graph fully factored quadratics

Solve by factoring

Solve by completing the square I

Graph quadratics in vertex form

Use vertex formula

Find the vertex and intercepts

Solve using the quadratic formula

Solve applications of quadratics

Quadratic Angry Birds (Investigation)

Solve quadratics using various methods

Catapult Quadratics (Investigation)

Non-monic quadratic equations (a not 1)

Solving by completing the square II

Graph quadratics in standard form

Discriminant of a quadratic

Applications of quadratics using graphs

Further applications

Rocket Quadratics (Investigation)

Reducing a rational equation to a quadratic

Quadratic graphing

Domain and range of quadratic functions

EXT: Solve for coefficients using quadratic identities

Determine the equation of a quadratic

Maximum and minimum values of quadratics

Applications of maximization and minimization

Grade 11

Transformations on quadratic equations

Interactive practice questions

What is dilation?

A movement of the curve in an upwards or downwards manner

A

A change in the curve affecting the steepness/slope of the curve

B

A mirroring of the curve, often over an axis

C

A movement of the curve either leftwards or rightwards

D

Easy

< 1min

What is reflection?

Easy

< 1min

What is vertical translation?

Easy

< 1min

What is horizontal translation?

Easy

< 1min

Outcomes

11U.A.1.8

Determine, through investigation using technology, the roles of the parameters a, k, d, and c in functions of the form y = a f (k(x – d)) + c, and describe these roles in terms of transformations on the graphs of f(x) = x, f(x) = x^2 , f(x) = sqrt(x) and f(x) = 1/x

What is Mathspace

About Mathspace