Quadratic functions are sometimes called even functions if they look the same when split over the y-axis. ----- ----- ----- ----- Is the graph shown an even function ?

Yes. This is an "even function".

Neither "even" nor "odd" function.

Is this an example of an even function ? Why? (select all that apply)

Yes. Function looks the same when reflected over y-axis.

Yes. Function looks the same when reflected over x-axis.

EOC Functions (Transformations)

9th Grade

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18 Qs

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EOC Functions (Transformations)

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

Jonathan Barron

FREE Resource

18 questions

Show all answers

GRAPHING QUESTION

3 mins • 1 pt

Answer explanation

Vertical shift happens here
----- ----- ----- -----
g(x) = f(x) + k
Upward shift for positive k
Downward shift for negative k
----- ----- ----- -----
Type image text in Desmos
Answer will match

GRAPHING QUESTION

3 mins • 1 pt

Answer explanation

Vertical shift happens here
----- ----- ----- -----
g(x) = f(x) + k
Upward shift for positive k
Downward shift for negative k
----- ----- ----- -----
Type image text in Desmos
Answer will match

GRAPHING QUESTION

3 mins • 1 pt

Answer explanation

Horizontal shift happens here
----- ----- ----- -----
g(x) = f(x + k)
Leftward shift for positive k
Rightward shift for negative k
----- ----- ----- -----
Type image text in Desmos
Answer will match

GRAPHING QUESTION

3 mins • 1 pt

Answer explanation

Horizontal shift happens here
----- ----- ----- -----
g(x) = f(x + k)
Leftward shift for positive k
Rightward shift for negative k
----- ----- ----- -----
Type image text in Desmos
Answer will match

GRAPHING QUESTION

3 mins • 1 pt

Answer explanation

Reflection over X-axis
----- ----- ----- -----
g(x) = kf(x)
If k = -1, then
g(x) = -f(x)
----- ----- ----- -----
Type image text in Desmos
Answer will match

GRAPHING QUESTION

3 mins • 1 pt

Answer explanation

Reflection over Y-axis
----- ----- ----- -----
g(x) = f(kx)
If k = -1, then
g(x) = f(-x)
----- ----- ----- -----
Type image text in Desmos
Answer will match

OPEN ENDED QUESTION

3 mins • 1 pt

Evaluate responses using AI:

OFF

Answer explanation

f(x) = 2x + 2
g(x) = f(x) + 2
g(x) = [2x + 2] + 2
g(x) = 2x + 4

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EOC Functions (Transformations)

18 questions

Vertical shift happens here
----- ----- ----- -----
g(x) = f(x) + k
Upward shift for positive k
Downward shift for negative k
----- ----- ----- -----
Type image text in Desmos
Answer will match

Vertical shift happens here
----- ----- ----- -----
g(x) = f(x) + k
Upward shift for positive k
Downward shift for negative k
----- ----- ----- -----
Type image text in Desmos
Answer will match

Horizontal shift happens here
----- ----- ----- -----
g(x) = f(x + k)
Leftward shift for positive k
Rightward shift for negative k
----- ----- ----- -----
Type image text in Desmos
Answer will match

Horizontal shift happens here
----- ----- ----- -----
g(x) = f(x + k)
Leftward shift for positive k
Rightward shift for negative k
----- ----- ----- -----
Type image text in Desmos
Answer will match

Reflection over X-axis
----- ----- ----- -----
g(x) = kf(x)
If k = -1, then
g(x) = -f(x)
----- ----- ----- -----
Type image text in Desmos
Answer will match

Reflection over Y-axis
----- ----- ----- -----
g(x) = f(kx)
If k = -1, then
g(x) = f(-x)
----- ----- ----- -----
Type image text in Desmos
Answer will match

f(x) = 2x + 2
g(x) = f(x) + 2
g(x) = [2x + 2] + 2
g(x) = 2x + 4

f(x) = 2x + 2
g(x) = f(x) + 2
g(x) = [2x + 2] - 4
g(x) = 2x - 2

g(x) = f(x) - 4
Vertical translation down by 4
Change in y-values down 4
----- ----- ----- -----
The original (x, y) point (2, 6) will move down 4 to (2, 2)
----- ----- ----- -----
f(x) = x² + 2
g(x) = f(x) - 4
g(x) = x² - 2

g(x) = f(x-3)
Horizontal shift right by 3
Change in x-values by 3
----- ----- ----- -----
The original (x, y) point (2, 6) will move right 3 to (5, 6)
----- ----- ----- -----
f(x) = x² + 2
g(x) = f(x-3)
g(x) = (x - 3)² + 2

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EOC Functions (Transformations)

18 questions

Vertical shift happens here----- ----- ----- -----g(x) = f(x) + kUpward shift for positive kDownward shift for negative k----- ----- ----- -----Type image text in DesmosAnswer will match

Vertical shift happens here----- ----- ----- -----g(x) = f(x) + kUpward shift for positive kDownward shift for negative k----- ----- ----- -----Type image text in DesmosAnswer will match

Horizontal shift happens here----- ----- ----- -----g(x) = f(x + k)Leftward shift for positive kRightward shift for negative k----- ----- ----- -----Type image text in DesmosAnswer will match

Horizontal shift happens here----- ----- ----- -----g(x) = f(x + k)Leftward shift for positive kRightward shift for negative k----- ----- ----- -----Type image text in DesmosAnswer will match

Reflection over X-axis----- ----- ----- -----g(x) = kf(x)If k = -1, theng(x) = -f(x)----- ----- ----- -----Type image text in DesmosAnswer will match

Reflection over Y-axis----- ----- ----- -----g(x) = f(kx)If k = -1, theng(x) = f(-x)----- ----- ----- -----Type image text in DesmosAnswer will match

f(x) = 2x + 2g(x) = f(x) + 2g(x) = [2x + 2] + 2g(x) = 2x + 4

f(x) = 2x + 2g(x) = f(x) + 2g(x) = [2x + 2] - 4g(x) = 2x - 2

g(x) = f(x) - 4Vertical translation down by 4Change in y-values down 4----- ----- ----- -----The original (x, y) point (2, 6) will move down 4 to (2, 2)----- ----- ----- -----f(x) = x2 + 2g(x) = f(x) - 4g(x) = x2 - 2

g(x) = f(x-3)Horizontal shift right by 3Change in x-values by 3----- ----- ----- -----The original (x, y) point (2, 6) will move right 3 to (5, 6)----- ----- ----- -----f(x) = x2 + 2g(x) = f(x-3)g(x) = (x - 3)2 + 2

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Similar Resources on Wayground

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Vertical shift happens here
----- ----- ----- -----
g(x) = f(x) + k
Upward shift for positive k
Downward shift for negative k
----- ----- ----- -----
Type image text in Desmos
Answer will match

Vertical shift happens here
----- ----- ----- -----
g(x) = f(x) + k
Upward shift for positive k
Downward shift for negative k
----- ----- ----- -----
Type image text in Desmos
Answer will match

Horizontal shift happens here
----- ----- ----- -----
g(x) = f(x + k)
Leftward shift for positive k
Rightward shift for negative k
----- ----- ----- -----
Type image text in Desmos
Answer will match

Horizontal shift happens here
----- ----- ----- -----
g(x) = f(x + k)
Leftward shift for positive k
Rightward shift for negative k
----- ----- ----- -----
Type image text in Desmos
Answer will match

Reflection over X-axis
----- ----- ----- -----
g(x) = kf(x)
If k = -1, then
g(x) = -f(x)
----- ----- ----- -----
Type image text in Desmos
Answer will match

Reflection over Y-axis
----- ----- ----- -----
g(x) = f(kx)
If k = -1, then
g(x) = f(-x)
----- ----- ----- -----
Type image text in Desmos
Answer will match

f(x) = 2x + 2
g(x) = f(x) + 2
g(x) = [2x + 2] + 2
g(x) = 2x + 4

f(x) = 2x + 2
g(x) = f(x) + 2
g(x) = [2x + 2] - 4
g(x) = 2x - 2

g(x) = f(x) - 4
Vertical translation down by 4
Change in y-values down 4
----- ----- ----- -----
The original (x, y) point (2, 6) will move down 4 to (2, 2)
----- ----- ----- -----
f(x) = x² + 2
g(x) = f(x) - 4
g(x) = x² - 2

g(x) = f(x-3)
Horizontal shift right by 3
Change in x-values by 3
----- ----- ----- -----
The original (x, y) point (2, 6) will move right 3 to (5, 6)
----- ----- ----- -----
f(x) = x² + 2
g(x) = f(x-3)
g(x) = (x - 3)² + 2