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Directions: Read carefully. Choose the best answer.
1. Given f (x) shown at the right.
The minimum point on the graph of the function y = f (x) is (-2,-4). What is the minimum point on the graph of the function y = f (x) + 7?
If the graph of the function y = 2 x is reflected over the x-axis, the equation of the reflection is ___________.
Function f (x) is shown in the table at the right. Which of the choices represents the value of h (3), given that h (x) = f (x) + 4?
Choose:
Function y = f (x) has been shifted 3 units to the right and 5 units down. Which of the following equations represents these changes?
7.Which of the following statements describes the transformation indicated by:
Let x represent the length of the side of a square, and also the edge of a cube. The area of the square is represented by
f (x) = x 2 .
The surface area of the cube is represented by g(x) = 6x 2 . Which statement describes
g(x) in terms of f (x)?
Choose:
A parabolic function f (x) = x 2 - 4.
Function g(x) is defined as g(x) = f (x) + 3.
What is the equation of g(x) in terms of x? Choose:
The shape of a roof is modeled by a transformation of the absolute value function, f (x) = | x |. The function is reflected in the x-axis, and translated 8 units up and 10 units to the right to create the roof model.
a) Which equation represents the model for the roof, r(x)?
Given: f (x) = x 2 ; k = 2; c = 3.
Given transformation functions:
y1 = kf (x) + c and y2 = k[f (x) + c]
a) Which of the two transformation functions is represented by the graph at the right?
Choose:
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