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Week 25 Quadratic Transformations (pgs. 1-4)

Authored by Alicia Thompson

Mathematics

9th - 12th Grade

Used 3+ times

Week 25 Quadratic Transformations (pgs. 1-4)
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Choose the quadratic that represents a vertical compression.

 f(x) = 5x2f\left(x\right)\ =\ 5x^2  

 y = 23x2y\ =\ \frac{2}{3}x^2  

 y = 43x2y\ =\ \frac{4}{3}x^2  

 f(x) = 1.2x2f\left(x\right)\ =\ 1.2x^2  

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Choose the quadratic that represents a vertical stretch.

y = 5x2y\ =\ 5x^2

f(x) = 25x2f\left(x\right)\ =\ \frac{2}{5}x^2

y = 18x2y\ =\ \ \frac{1}{8}x^2

f(x) = 0.75x2f\left(x\right)\ =\ 0.75x^2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Choose the quadratic that has been vertically stretched by a factor of 2, shifted right 3 units, and shifted up 4 units.

f(x) = 2(x+3)2+4f\left(x\right)\ =\ 2\left(x+3\right)^2+4

f(x) = 2x2+4f\left(x\right)\ =\ -2x^2+4

y = 2(x4)2+3y\ =\ 2\left(x-4\right)^2+3

f(x) = 2(x3)2+4f\left(x\right)\ =\ 2\left(x-3\right)^2+4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Choose the quadratic that has a vertical compression of a factor of 1/2, is reflected across the x-axis, and is shifted left 5 units.

y = 12(x5)2y\ =\ -\frac{1}{2}\left(x-5\right)^2

f(x) =12(x+5)2f\left(x\right)\ =\frac{1}{2}\left(x+5\right)^2

f(x) = 12(x+5)2f\left(x\right)\ =\ -\frac{1}{2}\left(x+5\right)^2

f(x) = 12x2+5f\left(x\right)\ =\ -\frac{1}{2}x^2+5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Choose the quadratic that is a reflection across the x-axis and a vertical shift of -8 units.

f(x) = x8f\left(x\right)\ =\ -x-8

f(x) = x28f\left(x\right)\ =\ -x^2-8

f(x) = (x8)2f\left(x\right)\ =\ -\left(x-8\right)^2

f(x) = x28f\left(x\right)\ =\ x^2-8

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the transformation:

 f(x) = 7x2+9f\left(x\right)\ =\ 7x^2+9  

Vertical stretch by a factor of 7, and a vertical shift of -9 units

Vertical compression by a factor of 7, and a vertical shift of -9 units

Vertical stretch by a factor of 7, and a vertical shift of 9 units

Vertical compression by a factor of 7, and a vertical shift of 9 units

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the transformation:

 f(x) = 15(x+6)23f\left(x\right)\ =\ -\frac{1}{5}\left(x+6\right)^2-3  

reflection across the x-axis; vertical compression of a factor of 1/5; horizontal translation of -6 units; vertical translation of -3 units

reflection across the x-axis; vertical stretch of a factor of 1/5; horizontal translation of 3 units; vertical translation of 6 units

reflection across the x-axis; vertical compression of a factor of 1/5; horizontal translation of 6 units; vertical translation of 3 units

reflection across the x-axis; vertical stretch of a factor of 1/5; horizontal translation of -6 units; vertical translation of 3 units

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