### We found 78 reviewed resources for vertical and horizontal shifts

Lesson Planet

#### Building a Quadratic Function Form

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...

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#### Vertical and Horizontal Stretches and Compressions

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...

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#### Vertical and Horizontal Shifts

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

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.

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#### Horizontal Translations or Phase Shifts: Tangent

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...

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#### Vertical Translations: Vertical Shift of Sinusoidal Functions

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...

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#### Horizontal Translations or Phase Shifts: Cosine

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.

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#### Horizontal Translations or Phase Shifts: Sine

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...

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#### Shifting Linear Equations in Function Notation

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.

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#### Trigonometric Graphs: Vertical and Horizontal Shift of Functions

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.

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#### Horizontal Translations or Phase Shifts: Horizontal and Vertical Translations

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

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. ...

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#### Vertical and Horizontal Stretches and Compressions

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...

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#### Toothpicks and Transformations

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)

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

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

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

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...

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#### What is a Translation?

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

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

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

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...

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#### What is a Translation?

Lesson Planet

#### Vertical and Horizontal Translations

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.