Quiz about Exponential Transformations

Question 1

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

Accepted Answer

reflects, left 3, down 6

Answer

It stayed the same

Answer

reflects, up 3, left 6

Answer

reflects, right 3, down 6

Question 2

What transformations occur in the following function?

Accepted Answer

right 3, up 2

Answer

left 3, up 2

Answer

left 3, down 2

Answer

right 3, down 2

Question 3

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

Accepted Answer

300

Answer

1.16

Answer

.16

Answer

x

Question 4

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

Question 5

Is the pictured graph growth, decay, or linear or none?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None

Question 6

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Accepted Answer

y=5000(0.7)^x

Answer

y=30(5000)^x

Answer

y=5000(1.3)^x

Answer

y=5000xx

Question 7

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

Accepted Answer

y=2x-3

Answer

y=2x-3

Answer

y=2x+3

Answer

y=2x+3

Question 8

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

Accepted Answer

4 units down

Answer

4 units up

Answer

4 units to the left

Answer

4 units to the right

Question 9

What is the transformation?

Accepted Answer

Reflection across the line y=0

Answer

Horizontal Translation left 2

Answer

Vertical Translation down 2

Answer

None

Question 10

Describe the transformation that is happening from the parent function.

Accepted Answer

translation DOWN and RIGHT

Answer

translation DOWN only

Answer

translation UP and LEFT

Answer

translation UP only

Question 11

Describe the transformation that is happening from the parent function.

Accepted Answer

REFLECTION over X-axis

Answer

translation DOWN only

Answer

REFLECTION over Y-axis

Answer

translation DOWN and RIGHT

Question 12

The graph g\left(x\right)=2^{\left(x-3\right)} is shown, which statement best describes the transformation from the parent graph f\left(x\right)=2^x.

Accepted Answer

Horizontally shift right 3

Answer

Vertically shift up 3

Answer

Vertically shift down 3

Answer

Horizontally shift left 3

Question 13

Which of the following function best represents this graph?

Accepted Answer

$$k\left(x\right)=-2^x+2$$

Answer

$$g\left(x\right)=2^x+2$$

Answer

$$m\left(x\right)=-2^x-2$$

Answer

$$f\left(x\right)=0.5^x+2$$

Question 14

Which of the following function best represents this graph?

Accepted Answer

$$g\left(x\right)=3\cdot2^x+1$$

Answer

$$k\left(x\right)=3\cdot2^{\left(x-1\right)}$$

Answer

$$m\left(x\right)=3\left(\frac{1}{2}\right)^{\left(x-1\right)}$$

Answer

$$f\left(x\right)=3\left(\frac{1}{2}\right)^x+1$$

Question 15

What is the equation for the asymptote for the graph of $$f\left(x\right)=2^{\left(x-3\right)}$$ ?

Accepted Answer

$$y=0$$

Answer

$$x=0$$

Answer

$$x=3$$

Answer

$$y=2$$

Question 16

What is the Range of this function?

Accepted Answer

y> 0

Answer

x> 0

Answer

All Real Numbers

Answer

y= 1

Question 17

What is "a", the initial value, for the function: f(x) = 300(1.16)^x?

Accepted Answer

300

Answer

1.16

Answer

.16

Answer

x

Question 18

What is the transformation?

Accepted Answer

Horizontal Translation right 1

Answer

Vertical Translation up 1

Answer

Vertical Translation down 1

Answer

Horizontal Translation left 1

Question 19

What is the transformation?

Accepted Answer

Vertical Translation down 2 and Horizontal Translation left 1

Answer

Vertical Translation up 2 and Horizontal translation right 1

Answer

Horizontal Translation left 2 and Vertical Translation up 1

Answer

Horizontal Translation right 2 and Vertical Translation down 1

Question 20

Accepted Answer

$$y=4^x-2$$

Answer

$$y=4^{\left(x-2\right)}$$

Answer

$$y=4^x+2$$

Answer

$$y=4^{\left(x+2\right)}$$

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