Topics
3. Quadratic Functions & Equations
topic badge
United States of AmericaTennessee
Algebra 2

3.05 Modeling with quadratics

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Which of the following are quadratic functions?

Select all that apply.

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

A

$y^2=x^2-5x+6$y2=x2−5x+6

B

$y=\left(x-5\right)\left(x-8\right)$y=(x−5)(x−8)

C

$y=\left(x^2-4\right)^2+2$y=(x2−4)2+2

D

$y=10x+9$y=10x+9

E

$y=4\left(x-7\right)^2+8$y=4(x−7)2+8

F
Easy
< 1min

Which of the following tables could represent a quadratic relation?

Medium
< 1min

Which of the following graphs show a quadratic relation?

Easy
< 1min

The table shows some bivariate data from a quadratic relationship.

Medium
3min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account
Book a Demo
Sign up for free

Outcomes

A2.N.Q.A.1

Use units as a way to understand real-world problems.*

A2.N.Q.A.1.A

Choose and interpret the scale and the origin in graphs and data displays.

A2.N.Q.A.1.C

Define and justify appropriate quantities within a context for the purpose of modeling.

A2.A.SSE.A.1

Interpret expressions that represent a quantity in terms of its context.*

A2.A.SSE.A.1.A

Interpret parts of an expression, such as terms, factors, and coefficients.

A2.F.IF.B.5.A

Rewrite quadratic functions to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a real-world context.

A2.F.BF.A.1.A

Combine standard function types using arithmetic operations.

A2.MP1

Make sense of problems and persevere in solving them.

A2.MP2

Reason abstractly and quantitatively.

A2.MP3

Construct viable arguments and critique the reasoning of others.

A2.MP4

Model with mathematics.

A2.MP5

Use appropriate tools strategically.

A2.MP6

Attend to precision.

A2.MP7

Look for and make use of structure.

A2.MP8

Look for and express regularity in repeated reasoning.

What is Mathspace

About Mathspace