12. What is the equation of a parabola with the following characteristics?

    Axis of symmetry: x = − 3 x equals negative 3

    Range: all real numbers less than or equal to 4

    6. y = − ( x − 4 ) 2 − 3 y equals negative open x minus 4 , close squared , minus 3
    7. y = ( x − 4 ) 2 − 3 y equals open x minus 4 , close squared , minus 3
    8. y = − ( x + 3 ) 2 + 4 y equals negative open x plus 3 , close squared , plus 4
    9. y = ( x + 3 ) 2 + 4 y equals open x plus 3 , close squared , plus 4

13. The graph of a degree 4 polynomial function with integer zeros is shown below.

    

    What is the equation of the polynomial function?

    1. y = x 4 − 6 x 3 + 11 x 2 − 6 x y equals , x to the fourth , minus , 6 x cubed , plus , 11 x squared , minus 6 x
    2. y = x 4 − 2 x 3 − 5 x 2 + 6 x y equals , x to the fourth , minus , 2 x cubed , minus , 5 x squared , plus 6 x
    3. y = x 4 − 2 x 3 + x 2 + 3 x y equals , x to the fourth , minus , 2 x cubed , plus , x squared , plus 3 x
    4. y = x 4 + 2 x 3 − 5 x 2 − 6 x y equals , x to the fourth , plus 2 , x cubed , minus , 5 x squared , minus 6 x

14. Which function is best represented by the graph below?

    

    6. y = 1 x − 1 y equals . fraction 1 , over x minus 1 end fraction
    7. y = 1 x + 1 y equals . fraction 1 , over x plus 1 end fraction
    8. y = x x − 1 y equals . fraction x , over x minus 1 end fraction
    9. y = x x + 1 y equals . fraction x , over x plus 1 end fraction
15. How many distinct real roots does the equation x 4 + 3 x 3 − 4 x = 0 x to the fourth , plus 3 , x cubed , minus 4 x equals 0 have?
    1. 1
    2. 2
    3. 3
    4. 4

16. Which function best represents the graph?

    

    6. f ( x ) = 2 · 3 − x f open x close equals 2 middle dot , 3 super negative x end super
    7. f ( x ) = − 2 · 3 x f open x close equals negative 2 middle dot , 3 to the x
    8. f ( x ) = 2 · 3 x f open x close equals 2 middle dot , 3 to the x
    9. f ( x ) = − 2 · 3 − x f open x close equals negative 2 middle dot , 3 super negative x end super

17. Consider the piecewise defined function graphed below.

    

    What is the equation for the piecewise defined function?

    1. f ( x ) = { 2 , if − 4 ≤ x < − 1 x + 3 , if − 1 ≤ x < 2 − x + 1 , if  2 ≤ x ≤ 4 f , open x close , equals . left brace . table with 3 rows and 1 column , row1 column 1 , 2 comma if minus 4 less than or equal to x less than negative 1 , row2 column 1 , x plus 3 comma if minus 1 less than or equal to x less than 2 , row3 column 1 , negative x plus 1 comma if 2 less than or equal to x less than or equal to 4 , end table
    2. f ( x ) = { 2 , if − 4 ≤ x ≤ − 1 x + 3 , if − 1 < x ≤ 2 − x + 1 , if  2 < x ≤ 4 f , open x close , equals . left brace . table with 3 rows and 1 column , row1 column 1 , 2 comma if minus 4 less than or equal to x less than or equal to negative 1 , row2 column 1 , x plus 3 comma if minus 1 less than x less than or equal to 2 , row3 column 1 , negative x plus 1 comma if 2 less than x less than or equal to 4 , end table
    3. f ( x ) = { 2 x , if − 4 ≤ x < − 1 x + 3 , if − 1 ≤ x < 2 − x + 1 , if  2 ≤ x ≤ 4 f , open x close , equals . left brace . table with 3 rows and 1 column , row1 column 1 , 2 x comma if minus 4 less than or equal to x less than negative 1 , row2 column 1 , x plus 3 comma if minus 1 less than or equal to x less than 2 , row3 column 1 , negative x plus 1 comma if 2 less than or equal to x less than or equal to 4 , end table
    4. f ( x ) = { 2 x , if − 4 ≤ x < − 1 x + 3 , if − 1 ≤ x < 2 − x − 1 , if  2 ≤ x ≤ 4 f , open x close , equals . left brace . table with 3 rows and 1 column , row1 column 1 , 2 x comma if minus 4 less than or equal to x less than negative 1 , row2 column 1 , x plus 3 comma if minus 1 less than or equal to x less than 2 , row3 column 1 , negative x minus 1 comma if 2 less than or equal to x less than or equal to 4 , end table

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