Transformations: 동영상 및 연습문제

For the following function, sketch its graph. f(x) = 7|x|

For the following function, sketch its graph. f(x) = (1/7)|x|

For the following function, sketch its graph. h(x) = (1/5)x ²

For the following function, sketch its graph. h(x) = (- 1/5)x²

What is the equation of the line of symmetry for the graph of g(x) = |2x - 6|?

For the following function, sketch its graph. f(x) = - 7|x|

For the following function, sketch its graph. f(x) = |(- 1/5)x|

For the following function, sketch its graph. g(x) = √(25x)

For the following function, sketch its graph. g(x) = - √(- 25x)

In one cartesian plane, show where the point P (7, - 13) lies and also show the other points that are symmetric to it with respect to the (a) x-axis, (b) y-axis, (c) origin.

In one cartesian plane, show where the point P (- 6, - 1) lies and also show the other points that are symmetric to it with respect to the (a) x-axis, (b) y-axis, (c) origin.

Suppose the graph of g(x) = cx + d is obtained by translating the graph of f(x) = 4x + 7 up 4 units and to the left 5 units. Determine the function g(x).

Suppose f(x) = 5x - 9. If the graph of f(x) is reflected about the x-axis, then write the equation of the resulting graph.

Suppose f(x) = 5x - 9. If the graph of f(x) is reflected about the y-axis, then write the equation of the resulting graph.

Write the transformation required to draw the graph of the following function using the graph of ƒ(x) = |x|.

g(x) = -|x|

Describe the symmetry of the given equation without graphing.

y = x² +8

Describe the symmetry of the given equation without graphing.

x² + y² = 12

Draw the graph of the following function using the various graphing techniques.

ƒ(x) = x² + 4

Draw the graph of the following function using the various graphing techniques.

f(x) = (x + 4)²

Draw the graph of the following function using the various graphing techniques.

f(x) = -(x + 3)³

Draw the graph of the following function using the various graphing techniques.

ƒ(x) = -4(x - 5)² + 6

Draw the graph of the following function using the various graphing techniques.

ƒ(x) = 3√x + 4

Draw the graph of the following function using the various graphing techniques.

ƒ(x) = 5√x - 1

Write the connection between the graphs of the given functions.

ƒ(x) = |x| and g(x) = |-x|

Write the different transformations used to draw given graph using the graph of f(x) = |x|. Also, write the equation for the graph.

Write the different transformations used to draw given graph using the graph of f(x) = |x|. Also, write the equation for the graph.

Write the different transformations used to draw given graph using the graph of f(x) = √x. Also, write the equation for the graph.

Draw the graph of the following function using the graph of f(x) given below. 

y = ƒ(x) + 5

Draw the graph of the following function using the graph of f(x) given below. 

y = f(x - 4)

Draw the graph of the following function using the graph of f(x) given below. 

y = f(x + 1) - 1