Algebra 2 6-8 Independent Practice: Graphing Radical Functions

Last updated about 3 years ago

7 questions

Library

Algebra 2 6-8 Independent Practice: Graphing Radical Functions

Last updated about 3 years ago

7 questions

Question 1

a. Sketch a graph of the function using the blue pen tool on the canvas below.
b. Graph the function at desmos.com.
c. Sketch a new (more accurate?) graph of the function in orange on the same plane as your blue sketch. It is okay if your blue and red graphs overlap.

As always, label the axes and indicate their scale by marking at least one value on each axis.

Question 2

a. Sketch a graph of the function using the blue pen tool on the canvas below.
b. Graph the function using the embedded Desmos graphing calculator above.
c. Sketch a new (more accurate?) graph of the function in orange on the same plane as your blue sketch. It is okay if your blue and red graphs overlap.

As always, label the axes and indicate their scale by marking at least one value on each axis.

Question 3

A

B

C

D

Question 4

A

B

C

D

Question 5

Writing: Explain the effect that a has on the graph of the function.

a scales the graph horizontally. If a > 1, the result is a horizontal stretch. If 0 < a < 1, the result is a horizontal compression. Similar horizontal stretches and compressions occur if a < 0, but when a is negative, the graph is also reflected across the y-axis.

a scales the graph vertically. If a > 1, the result is a vertical stretch. If 0 < a < 1, the result is a vertical compression. Similar vertical stretches and compressions occur if a < 0, but when a is negative, the graph is also reflected across the x-axis.

Question 6

Error Analysis: Your friend states that the graph of the function g(x) is a reflection of the graph of the function f(x) across the x-axis. Describe your friend's error.

Question 7

Reflection: Math Success

Question 1

a. Sketch a graph of the function using the blue pen tool on the canvas below.
b. Graph the function at desmos.com.
c. Sketch a new (more accurate?) graph of the function in orange on the same plane as your blue sketch. It is okay if your blue and red graphs overlap.

As always, label the axes and indicate their scale by marking at least one value on each axis.

Question 2

a. Sketch a graph of the function using the blue pen tool on the canvas below.
b. Graph the function using the embedded Desmos graphing calculator above.
c. Sketch a new (more accurate?) graph of the function in orange on the same plane as your blue sketch. It is okay if your blue and red graphs overlap.

As always, label the axes and indicate their scale by marking at least one value on each axis.

Question 3

A

B

C

D

Question 4

A

B

C

D

Question 5

Writing: Explain the effect that a has on the graph of the function.

a scales the graph horizontally. If a > 1, the result is a horizontal stretch. If 0 < a < 1, the result is a horizontal compression. Similar horizontal stretches and compressions occur if a < 0, but when a is negative, the graph is also reflected across the y-axis.

a scales the graph vertically. If a > 1, the result is a vertical stretch. If 0 < a < 1, the result is a vertical compression. Similar vertical stretches and compressions occur if a < 0, but when a is negative, the graph is also reflected across the x-axis.

Question 6

Error Analysis: Your friend states that the graph of the function g(x) is a reflection of the graph of the function f(x) across the x-axis. Describe your friend's error.

Question 7