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2.08 Modeling with quadratics

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=x25x+6

B

$y=\left(x-5\right)\left(x-8\right)$y=(x5)(x8)

C

$y=\left(x^2-4\right)^2+2$y=(x24)2+2

D

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

E

$y=4\left(x-7\right)^2+8$y=4(x7)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
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Outcomes

MA.912.AR.3.4

Write a quadratic function to represent the relationship between two quantities from a graph, a written description or a table of values within a mathematical or real-world context.

MA.912.AR.3.8

Solve and graph mathematical and real-world problems that are modeled with quadratic functions. Interpret key features and determine constraints in terms of the context.

MA.912.DP.2.8

Fit a quadratic function to bivariate numerical data that suggests a quadratic association and interpret any intercepts or the vertex of the model. Use the model to solve real-world problems in terms of the context of the data.

MA.912.F.1.1

Given an equation or graph that defines a function, determine the function type. Given an input-output table, determine a function type that could represent it.

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