Topics
7. Quadratic Functions
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United States of AmericaVirginia
Algebra 1

7.02 Quadratic functions in factored form

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

What are the zeros of the function $y=\left(x-3\right)\left(x-5\right)$y=(x−3)(x−5)?

Zeros$=$=$\editable{},\editable{}$,

Easy
< 1min

What is the $y$y-intercept of the equation $y=8\left(x-3\right)\left(x-5\right)$y=8(x−3)(x−5)?

Easy
< 1min

What is the $y$y-intercept of the equation $y=x\left(x+3\right)$y=x(x+3)?

Easy
< 1min

Consider the graph of the function shown.

Medium
< 1min
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Outcomes

A.F.2

The student will investigate, analyze, and compare characteristics of functions, including quadratic and exponential functions, and model quadratic and exponential relationships.

A.F.2b

Given an equation or graph, determine key characteristics of a quadratic function including x-intercepts (zeros), y-intercept, vertex (maximum or minimum), and domain and range (including when restricted by context); interpret key characteristics as related to contextual situations, where applicable.

A.F.2c

Graph a quadratic function, f(x), in two variables using a variety of strategies, including transformations f(x) + k and kf(x), where k is limited to rational values.

A.F.2d

Make connections between the algebraic (standard and factored forms) and graphical representation of a quadratic function.

A.F.2g

For any value, x, in the domain of f, determine f(x) of a quadratic or exponential function. Determine x given any value f(x) in the range of f of a quadratic function. Explain the meaning of x and f(x) in context.

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