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78 reviewed resources for vertical and horizontal shifts

1 In 1 Collection
Lesson Planet

Building a Quadratic Function Form

For Teachers 9th - 12th Standards
Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...
Lesson Planet

Vertical and Horizontal Stretches and Compressions

For Teachers 9th - 11th
Learners identify the different stretches and compressions of their polynomial equations. They define when a graph will stretch vertically and when will it stretch horizontally. They also calculate when it will compress vertically and...
Lesson Planet

Vertical and Horizontal Shifts

For Teachers 10th - 11th
Students differentiate polynomial graphs based on their vertical and horizontal shifts. In this algebra lesson, students explain what happens during a vertical and horizontal shift. They examine their equation written in vertex form to...
Lesson Planet

Vertical and Horizontal Shifts

For Teachers 9th - 10th
Students perform vertical and horizontal shifts. In this algebra lesson, student move their graphs around on the coordinate plane. They differentiate between vertical-and horizontal shifts.
Lesson Planet

Horizontal Translations or Phase Shifts: Tangent

For Students 10th - 12th Standards
Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes before...
Lesson Planet

Vertical Translations: Vertical Shift of Sinusoidal Functions

For Students 10th - 12th Standards
Create a shift in TV viewing habits. The interactive presents a cosine model of an individual's TV viewing habits during a year. Class members move the model to reflect given conditions. Finally, they determine key features from the...
Lesson Planet

Horizontal Translations or Phase Shifts: Cosine

For Students 10th - 12th Standards
If cosine is shifted, how is its equation affected? Learners manipulate the graph of cosine by moving the y-intercept to different locations on the coordinate plane. Pupils determine the new equation that models the shifts.
Lesson Planet

Horizontal Translations or Phase Shifts: Sine

For Students 10th - 12th Standards
Shift a trigonometric function and find its new equation. Pupils translate a sine function on a graph. The scholars determine the equation of the function that represents the translated graph and observe the connection between a...
Lesson Planet

Shifting Linear Equations in Function Notation

For Students 8th - 10th Standards
Time for a shift in thinking! Learners examine translations of linear functions. They use function notation to describe the translation and make connections to the graph.
Lesson Planet

Trigonometric Graphs: Vertical and Horizontal Shift of Functions

For Students 10th - 12th
In this vertical and horizontal shift of functions, students describe the period, amplitude, horizontal shift and vertical shift of each given function. This three-page worksheet contains seven multi-step problems.
Lesson Planet

Horizontal Translations or Phase Shifts: Horizontal and Vertical Translations

For Students 10th - 12th Standards
It is all about the shift. Pupils translate the graph of a cubic function to different marked locations on the plane and determine the new equation that represents the shifts. The activity is designed to encourage individuals begin to...
Lesson Planet

Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine

For Teachers 10th - 12th Standards
Students explore the concept of sine and cosine.  In this sine and cosine lesson, students work in groups to graph sine and cosine functions.  Students examine how coefficients in various parts of each parent function shift the graph. ...
Lesson Planet

Vertical and Horizontal Stretches and Compressions

For Teachers 8th - 10th
Young scholars differentiate between vertical and horizontal stretches and compressions. In this algebra lesson, students identify what causes the change in the graphs. They perform reflection and transformation of each graph to create a...
Lesson Planet

Toothpicks and Transformations

For Teachers 9th - 12th Standards
Students investigate quadratic functions using geometric toothpick designs. They review transformations of quadratic functions-vertical and horizontal shifts, and stretches and shrinks. Students match the symbolic form of the function to...
EngageNY

Four Interesting Transformations of Functions (Part 2)

For Teachers 9th - 10th Standards
What happens to a function whose graph is translated horizontally? Groups find out as they investigate the effects of addition and subtraction within a function. This nineteenth lesson plan in a 26-part series focuses on horizontal...
Lesson Planet

Vertical and Horizontal Shifts

For Teachers 8th - 10th
Students perform vertical and horizontal translations. In this algebra lesson, students identify the cause of changes to the graph. They move their graphs around on the coordinate plane using shifts that are up, down, left and to the right.
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Transforming Polynomials Functions

For Teachers 9th - 12th
Explore the concept of transforming polynomial functions! In this transforming polynomial functions lesson, students enter a polynomial into their calculator. They shift the graph vertically and horizontally using the function menu, then...
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Analyzing the Graphs of Functions: Analyzing a Rational Function

For Students 11th - Higher Ed
Shift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals of...
5:56
Lesson Planet

What is a Translation?

For Teachers 6th - 12th
A translation means moving a figure to another location by sliding it. The figure, called the image, maintains its size and shape. You can move the image horizontally, vertically, or a combination of both.
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Conics Introduction and Parabolas

For Teachers 10th - 12th Standards
Where did conic sections get their name? The equation and graph of a parabola are developed from the definition of the conic section. Teacher examples on graphing the equation and writing an equation from the graph round out the plan.
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Graphing Square Root Functions

For Teachers 9th - 12th Standards
Learners graph square root functions by using transformation. In this square root functions lesson plan, high schoolers also describe the vertical stretch, reflection, and horizontal and vertical shift of the function.
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Families of Functions

For Teachers 9th - 12th Standards
Learners use sliders to change the parameters of functions and examine how shifting parameters affects a graph. They identify the parameters of functions, find vertical and horizontal stretches, then calculate the scale factor and other...
5:21
Lesson Planet

What is a Translation?

For Teachers 6th - 10th
A translation means moving a figure to another location by sliding it. The figure, called the image, maintains its size and shape. You can move the image horizontally, vertically, or a combination of both.
Lesson Planet

Vertical and Horizontal Translations

For Teachers 11th
Eleventh graders study seven functions. They use their handheld calculator to determine which family of functions the equation belongs, the parent function described, and they calculate the vertical and horizontal translation.