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Lesson 23 - Unit 7 - Algebra 1 - Illustrative Mathematics

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Here is a graph of a quadratic function f(x). What is the minimum value of f(x)?

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The graph that represents f(x)=(x+1)^{2}-4 has its vertex at (-1,-4).

Explain how we can tell from the expression (x+1)^{2}-4 that -4 is the minimum value of f rather than the maximum value.

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Match each equation to the number of solutions it has.

Draggable itemarrow_right_altCorresponding Item

(x-5)^{2}=-25

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1 solution

(x-1)(x-5)=5

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2 solutions

x^{2}-2x=-1

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no soultions

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Which equation has irrational solutions?

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This lesson is from Illustrative Mathematics. Algebra 1, Unit 7, Lesson 23. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/7/23/index.html ; accessed 26/July/2021.

IM Algebra 1, Geometry, Algebra 2 is © 2019 Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.

These materials include public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.

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