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Learning resources brought to you by Tucson Unified's Curriculum and Instruction

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This page contains a "menu" of lessons and activities for this week. You will find the objectives: the specific skills that you work on. Then you will find a selection of lessons and activities which help you practice and master those skills. If you run into technical issues or other difficulties with any of these, simply move on and choose another.

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Algebra 1 - Week Six

Printable Version of this lesson board in PDF format

High School Algebra 1

Week 6 May 11-May 15

Weekly Packet

Math Objectives: Students will be able to:

  • determine transformations and translations of quadratic functions and graph.
  • understand vertical translations, compressions and stretches.

Independent Practice:
Practice Sheet 1
(no answers provided)
Kuta Practice Sheet
(answers for odd #’s included)

Khan Academy Practice (with answers)
Translations
Compressions, stretches, & reflections

Self-Check/Formative Assessment

Identify the transformations then graph these quadratic equations:

  1. y=x2−5

  2. f(x)=x2+3

  3. f(x)=x2+8

  4. y=5x2+2

  5. f(x)=−x2−7

  6. f(x)=−14x2+1

  7. f(x)=32x2−3

IXL: (use Clever to Access IXL)

(Alg1) BB 4: Transformations of quadratic functions
Your goal is a minimum Smart Score of 80

Explanation Websites
Textbook pages with notes and practice problems (no answers included)
Math is Power video describing all types of transformations for quadratic functions.

Key Vocabulary / Formulas/ Things to Remember
Standard Form: Quadratic equations in the form of y = ax2+bx+c
Factored Form: Quadratic equations that have been factored. For Example:
y=(2x−4)(x+3)
Vertex Form: Quadratic equations in the form of
y=(x−h)2+k
Axis of Symmetry:
x= −b2a

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola.

Coefficients: a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g., the 5 in 5x).
Quadratic Formula:
x= −b±b2−4ac−−−−−−−√2a

Vertex: The vertex of a parabola is the point where the parabola crosses its axis of symmetry. If the coefficient of the x2 term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “U”-shape. If the coefficient of the x2 term is negative, the vertex will be the highest point on the graph, the point at the top of the “∩” -shape.

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