Topics
7. Quadratic Functions
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United States of AmericaTennessee
Algebra 1

7.05 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 $y=-x^2-4x-9$y=−x2−4x−9.

Easy
2min
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Outcomes

A1.N.Q.A.1

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

A1.N.Q.A.1.A

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

A1.A.CED.A.2

Create equations in two variables to represent relationships between quantities and use them to solve problems in a real-world context. Graph equations with two variables on coordinate axes with labels and scales, and use the graphs to make predictions.*

A1.A.CED.A.3

Create individual and systems of equations and/or inequalities to represent constraints in a contextual situation, and interpret solutions as viable or non-viable.*

A1.A.REI.D.5

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

A1.A.REI.D.6

Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x). Find approximate solutions by graphing the functions or making a table of values, using technology when appropriate.*

A1.F.IF.C.7

Graph functions expressed algebraically and show key features of the graph by hand and using technology.*

A1.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. *

A1.F.IF.C.8.A

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

A1.F.IF.C.9

Compare properties of functions represented algebraically, graphically, numerically in tables, or by verbal descriptions.*

A1.MP1

Make sense of problems and persevere in solving them.

A1.MP2

Reason abstractly and quantitatively.

A1.MP3

Construct viable arguments and critique the reasoning of others.

A1.MP4

Model with mathematics.

A1.MP6

Attend to precision.

A1.MP7

Look for and make use of structure.

A1.MP8

Look for and express regularity in repeated reasoning.

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