Quiz about Transformations With Functions

Question 1

Which transformation of y=f(x) moves the graph 7 units to the left and 3 units down?

Accepted Answer

y = f(x + 7) - 3

Answer

y = f(x + 7) + 3

Answer

y = f(x - 7) - 3

Answer

y = f(x - 7) + 3

Question 2

The accompanying graph represents the equation y = f(x).

Which graph represents g(x) if g(x) = -f(x)?

Accepted Answer

Question 3

The graph of y = f(x) is shown to the side.

What is the graph of y = f(x + 1) - 2?

Accepted Answer

Question 4

Consider the function y = h(x), defined by the first graph. Which equation could be used to represent the second graph?

Accepted Answer

y = -h(x)

Answer

y = h(x) - 2

Answer

y = h(x - 2)

Answer

y = h(-x)

Question 5

The minimum point on the graph of the equation y = f(x) is (-1,-3). What is the minimum point on the graph of the equation y = f(x) + 5?

Accepted Answer

(-1,2)

Answer

(-1,-8)

Answer

(4,-3)

Answer

(-6,-3)

Question 6

The maximum point on the graph of the equation y = f(x) is (2,-3). What is the maximum point on the graph of the equation y = f(x - 4)?

Accepted Answer

(6,-3)

Answer

(2,-7)

Answer

(-2,-3)

Answer

(6,-7)

Question 7

The graph to the side represents f(x).

Which of the following is the graph of -f(x)?

Accepted Answer

Question 8

The graph on the side represents f(x).

Which graph best represents f(-x).

Accepted Answer

Question 9

The graph to the side shows the function f(x).

Which graph represents the function f(x + 2)?

Accepted Answer

Question 10

The graph to the side represents national and New York State average gas prices. If New York State's gas prices are modeled by G(x) and C > 0, which expression best approximates the national average x months from August 2014?

Accepted Answer

G(x) + C

Answer

G(x + C)

Answer

G(x - C)

Answer

G(x) - C

Question 11

The transformed function has the following transformations: $$y=-2^{\left(x-1\right)\ }+3$$

Accepted Answer

Reflection, horizontal shift right, vertical shift up

Answer

Reflection, horizontal shift left, vertical shift up

Answer

Dilation, horizontal shift right, vertical shift down

Answer

Dilation, horizontal shift left, vertical shift up

Question 12

What is the correct description of the transformed function

$$y=f\left(x+4\right)-10$$ ?

Accepted Answer

Horizontal shift of 4 to the left, vertical shift down 10

Answer

Horizontal shift of 4 to the right, reflection, dilation of 10

Answer

Horizontal shift of 4 to the right, vertical shift down 10

Answer

Horizontal shift of 4 to the left, vertical shift up 10

Question 13

What type of function is being transformed below:

$$y=.5\left(x-4\right)^2+3$$

Accepted Answer

Quadratic

Answer

Linear

Answer

Exponential

Answer

Logarithmic

Transformations With Functions

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