Free Printable Final Transformations Review, day 2

1.

What are the shifts of the graph

f\left(x\right)=\left(x-2\right)^3-8

from the parent graph of

f\left(x\right)=x^3

?

a)

Left 2 and Up 8

b)

Right 2 and Up 8

c)

Left 2 and Down 8

d)

Right 2 and Down 8

2.

What are the shifts of the graph

f\left(x\right)=\left(x+9\right)^3+4

from the parent graph of

f\left(x\right)=x^3

?

a)

Left 9 and Up 4

b)

Right 9 and Up 4

c)

Left 9 and Down 4

d)

Right 9 and Down 4

3.

Describe the transformation of the graph y = -2(x + 5)³

a)

Shrink by 2, Reflected over y-axis, Right 5

b)

Stretch by 2, Reflected over x-axis, Left 5

c)

Stretch by 2, Reflected over x-axis, Right 5

d)

Shrink by 2, reflected over y-axis, Left 5

4.

Describe the transformation of the graph y = - ½(x + 4)³ - 1

a)

Left 4 and Down 1

b)

Reflected x-axis, Down 1, Left 4, Shrink by 1/2

c)

Reflected x-axis, Down 1, Left 4, Stretch by 1/2

d)

Reflected x-axis, Up 1, Right 4, Shrink by 1/2

5.

The graph shows the function f(x)=x³ in blue and another function g(x) in red. Which could be the equation for g(x)?

a)

A. g(x) = -x³

b)

B. g(x) = x³ - 1

c)

C. g(x) = (x + 1)³

d)

D. g(x) = (x - 1)³

6.

Identify the Transformations.

a)

Vertical stretch by 2 and down 4

b)

Horizontal compression by ½ and down 4

c)

Vertical stretch by 2 and up 4

d)

Horizontal compression by ½ and right 4

7.

Identify the Transformations.

a)

Down 2

b)

Up 2

c)

Reflection and stretch by 2

d)

Reflection and down 2

8.

Describe the transformations of the graph shown.

a)

Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units left.

b)

Shifted down 4 units, horizontal compression by a factor of 3, and shifted 6 units left.

c)

Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units right.

d)

none of the above.

9.

Which graph represents the function?

a)

b)

c)

d)

10.

What is the inflection point of the function? **hint--the inflection point is the point around which the graph has rotational symmetry**

a)

(5,-3)

b)

(5,3)

c)

(-5,-3)

d)

(-5,3)

11.

Classify the following graph.

a)

Exponential Growth

b)

Exponential Decay

c)

Logarithmic

12.

Using the parent function $y=\log_3x$ what would the graph of $y=\log_3\left(x+5\right)$ look like?

a)

Horizontal shift left 5 units

b)

Horizontal shift right 5 units

c)

Vertical shift up 5 units

d)

Vertical shift down 5 units

13.

Using the parent function

y=\log_6x

what would the graph of

y=\log_6x+9

look like?

a)

Horizontal Shift to the right 9 units

b)

Horizontal shift to the left 9 units

c)

Vertical shift 9 units up

d)

Vertical shift 9 units down

14.

Find the corresponding graph of
$\log_3\left(x-1\right)+4$

a)

b)

c)

d)

15.

$What\ is\ the\ graph\ of\ the\ function;\ f\left(x\right)=\log_9\left(x-5\right)+3?$

a)

b)

c)

d)

16.

What equation would yield a transformation right 3 units if your initial function was y=2^x

a)

y=2^x-3

b)

y=2^x+3

c)

y=2^x+³

d)

y=2^x-³

17.

What is the transformation?

a)

Horizontal Translation left 2

b)

Vertical Translation down 2

c)

None

d)

Reflection across the line y=0

18.

What transformations have happened to f(x) = 2^x if the new equation is
g(x) = -2^(x+3) -6

a)

It stayed the same

b)

reflects, up 3, left 6

c)

reflects, right 3, down 6

d)

reflects, left 3, down 6

19.

For $y=a\left(b\right)^x+k$ , how does adding a constant "k" transform the parent function?

a)

Horizontal shift

b)

Vertical Translation

c)

Reflection over the x-axis

d)

Reflection over the y-axis

20.

$f\left(x\right)=3^x\ \ \ \ and\ \ \ g\left(x\right)=5\left(3\right)^x$
What transformation has taken place from the parent function to g(x)

a)

Vertical Stretch

b)

Vertical Compression

c)

Translation up 5 units

d)

Reflection across the x-axis

Final Transformations Review, day 2

Total questions: 20

Worksheet time: 31mins

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