Impacts of Transformations
Quadratic
Exponential
Absolute Value
Composition of Transformations
100

Quel est l'impact de a sur la fonction f(x)=a(x+c)+d.


agrandissement ou rétrécissement du graphique

100

  g(x) est une transformation faite à partir de f(x)=4x^2+1 ayant subit une translation verticale de 3 unités vers le haut.

  g(x)=4x^2+4

100

The function g(x) is made by transforming the function f(x)=-2^(x-1)+2 vertically down by 6 units.

What is g(x)=-2^(x-1)-4

100

The function g(x) is made by transforming the function f(x)=|x| vertically up by 5 units.

What is g(x)=|x|+5

100

Write an equation for the following transformation:

Absolute value function shifted down 2 and left 5

y=|x+5|-2

200

Comment agit c sur la fonction f(x)=a(x+c)+d.

translation vers la gauche

200

  g(x) est une translation de 3 unités vers le haut à partir de f(x)=3x^2+2x-1  

f(x)=3x^2+2x+2

200

The function g(x) is made by transforming the function f(x)=2^(x+1) horizontally left by 3 units.

What is g(x)=2^(x+4)

200

The transformation g(x) is created by transforming the parent function of an absolute value function horizontally right by 6 units.

What is g(x)=|x-6|

200

Write an equation for the following transformation.

Quadratic function flipped over the x-axis, shifted right 1, and shifted up 5.

-(x-1)^2+5

300

Comment agit d sur la fonction f(x)=a(x+c)+d.

translation verticale vers le haut

300

  g(x) est une transformation de f(x)=-2x^2+3 ayant subit une translation horizontale de 4 unités vers la droite

 (x)=-2(x-4)^2+3

300

The function g(x) is made by stretching the function f(x)=3^(x+9) by a factor of 4.

What is g(x)=(4)3^(x+9)

300

Describe the transformation of f(x)=.5|x|+1 is created by transforming the parent function.

Shift up one unit and shrink by a factor of .5

300

Write an equation for the following transformation.

Exponential function (2^x) shifted right 4, up 2, left 3, and down 7

2^(x-1)-5

400

Si  c est negatif, Quel direction se déplacera la fonction? f(x)=a(x+c)+d

droite

400

  g(x), est créé à partir de la réflexion par rapport à l'axe des x de f(x)=2x^2 +4  

  g(x)=-2x^2+4 

400

The function g(x) is made by transforming the function f(x)=6^(x+8) by flipping it over the x-axis and shifting it down by 3 units

What is g(x)=-6^(x+8)-3

400

What is the horizontal shift in the function f(x)=-2|x+4|-4

Left 4

400

Write an equation for the following transformation.

Absolute value function shifted up 5, down 8, right 4, left 20. 

|x+16|-3

500

Si a est negatif, qu'est-ce qui arrive à cette fonction? f(x)=a(x+c)+d

réflexion par rapport à l'axe des x

500

Écrit l'équation ayant eu ces transformations:

une équation quadratique ayant subit une translation verticale vers le bas de 3 unité et horizontalement vers la droite de 1 unité. 

f(x)=(x-1)^2-3

500

How does f(x)=2^(x-3)+3 change to get to the function g(x)=-2^(x-5)+2

flip over x-axis

right 2

down 1

500

The description of f(x)=|x| after it becomes g(x)=-|x-5|-3

Flipped over x-axis, shifted 5 units right, and moved down 3 units.

500

What is the difference between the two functions.

f(x)=(x-2)^2+4

g(x)=(x+2)^2+4

f(x) will move x^2 right two units

g(x) will move x^2 left two units

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