4. Quadratics

4.01 Key features of quadratic functions

4.02 Solving quadratic equations by factoring

4.03 Solving quadratic equations using square roots

Investigation: Deriving the quadratic formula

4.04 The discriminant and the quadratic formula

4.05 Graphing quadratic functions

4.06 Transformations of quadratics

4.07 Quadratics in factored form

4.08 Quadratics in vertex form

4.09 Quadratic functions and technology

4.10 Applications of quadratic functions

4.11 Comparing exponential and quadratic functions

4.12 Systems of linear and quadratic equations

United States of America UT

Math II

4.01 Key features of quadratic functions

Interactive practice questions

Find the value of the quadratic expression $3x^2$3x2 for each of the following $x$x-values.

a

$x=5$x=5

b

$x=-5$x=−5

Easy

1min

Find the value of the quadratic expression $3x^2+1$3x2+1 when $x=1$x=1.

Easy

< 1min

Find the value of the following quadratic expression when $x=7$x=7.

$4x+5x^2$4x+5x2

Easy

< 1min

Find the value of the following quadratic expression when $x=8$x=8.

$6x^2+5x-4$6x2+5x−4

Easy

< 1min

Outcomes

II.F.IF.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

II.F.IF.5

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

What is Mathspace

About Mathspace