Topics
10. Quadratic Functions and Models
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United States of America
Grades 9-12

10.04 Quadratic functions in standard form

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the function $y=2x^2+24x+75$y=2x2+24x+75.

a

Convert the equation into vertex form.

b

Identify the coordinates of the vertex.

Vertex: $\left(\editable{},\editable{}\right)$(,)

c

What does the vertex become when the parabola is reflected about the $x$x-axis?

Vertex: $\left(\editable{},\editable{}\right)$(,)

Easy
4min

Consider the function $y=x^2-2x+5$y=x2−2x+5.

Easy
2min

Consider the function $y=x^2-4x+6$y=x2−4x+6.

Easy
3min

Consider the function $y=x^2-4x+8$y=x2−4x+8.

Easy
2min
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Outcomes

A.CED.A.2

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

F.IF.B.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.

F.IF.C.7

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

F.IF.C.7.A

Graph linear and quadratic functions and show intercepts, maxima, and minima.

F.IF.C.8

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

F.BF.A.1

Write a function that describes a relationship between two quantities.

F.BF.A.1.A

Determine an explicit expression, a recursive process, or steps for calculation from a context.

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