Polynomial Functions. Cumulative Test. Select the best answer. 1. If g(x) is a horizontal compression by a factor of 1 followed by a translation of

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1 Polynomial unctions Cumulative Test Select the best answer.. If g(x) is a horizontal compression by a factor of followed by a translation of units down of f(x) = x 5, what is the rule for g(x)? A g(x) = x C g(x) = 6x 8 B g(x) = x + D g(x) = 6x + 8. Which linear equation best fits this data set? x 6 8 y y = x + H y = x y = x + J y = x. Which of these is the domain and range for the parent function of ( x ) +? A Domain: x 0 Range: y 0 B Domain: all real numbers Range: y 0 C Domain: all real numbers Range: y 0 D Domain: x 0 Range: y 0. Which are the coordinates of the transformed point? (, 6); vertical compression of (, 0.5) H (, ) (, ) J (, ) 5. Which completes the table of the transformed function? Reflection across x-axis A,, 0,, B,, 0,, C,, 0,, D 5,,,, X 5 y 0 6. Which of these is the parent function? ( x ) + 9 x H x x J x 7. Which of these is the parent function? ( x + ) A x C B x + D x x 8. Which of these describes the transformation in terms of f(x)? Vertical shift down 8 units f ( x) 8 H f ( x + 8) 8f ( x) J f ( x 8) 9. Which transformation describes the equation from its parent equation? f ( x ) A horizontal shift left units B vertical stretch by a factor of C vertical shift up units D vertical shift down units 0. Which of these describes the transformation in terms of f(x)? Vertical shift down unit f x ( ) H ( ) ( ) f x J f x f x+. Which transformation describes the equation from its parent equation? f x+ 7 ( ) A horizontal shift right 7 units B vertical shift up 7 units C horizontal shift left 7 units D vertical stretch by a factor of 7 6 Holt McDougal Algebra

2 Polynomial unctions. Which is the type of correlation shown? no correlation H positive negative J zero. Which is the type of correlation shown? A no correlation C negative B positive D zero. Which is the correlation coefficient? -0.9 H J 5. Which is the correlation coefficient? 6. Using f( x) = x, what is the transformation that yields f x ( x ) ( ) = +? vertical stretch of, shift units left and units down shift units left and units down H vertical stretch of, shift units right and units down J vertical stretch of, shift units left and units down 7. Consider h( x) = x + 6x +.What is its vertex and y-intercept? A vertex: (, ), y-intercept: (0, ) B vertex: (, ), y-intercept: (0, ) C vertex: (, ), y-intercept: (0, ) D vertex: (, ), y-intercept: (0, ) 8. What is the minimum or maximum of g x = 9x + 6x? ( ) minimum:, 0 H minimum: (, 0) maximum:, 0 J maximum: (, 0) 9. What are the zeros of the trinomial x x+? A, C, B, D, 0. What is a quadratic function in standard form having zeros of and? f x = x+ x ( ) ( ) f( x) = x + 5x f x = x x + H ( ) ( ) J f( x) = x 5x A C 0.90 B 0.90 D 6 Holt McDougal Algebra

3 Polynomial unctions. What is the simplified version of 8 i 5? A 5i B 5 C 5i D 5. What is the simplified version of 0 i 96? i H i J. What is the simplified version of 7 i 00? A 0i C 0 B 0i D 0. Use the quadratic formula to solve x 0x+. x = H x =± i J x =, x =, 5. or the discriminant ( 5), What is the number of solutions and their type(s)? A imaginary solutions B real solution C imaginary solution D real solutions 6. or the discriminant ( ), What is the number of solutions and their type(s)? real solutions imaginary solutions H imaginary solution J real solution 7. Simplify ( i 0 )( i 0 ) Simplify + i. + i + 6i 7 7 H 8i 9. Simplify ( i )( i ) J 9 8i A 7 C 7+ 6i B + 9 D 9+ i 0. If the parent function f(x) = x is horizontally stretched by a factor of, translated units to the left, then translated unit up, write the resulting function g(x) in vertex form. ( ) = + gx ( x ) ( ) = + + gx ( x ) H g(x) = (x ) + J g(x) = (x + ) +. ind the minimum or maximum of g(x) = x + x 7. A maximum of B minimum of C maximum of D minimum of. Write a quadratic function in standard form having zeros of and 0.5. f(x) = x 7x + g(x) = x + 7x + H h(x) = x 7x J j(x) = x + 7x A 0i 6 C 0 B 6 D 6 6 Holt McDougal Algebra

4 Polynomial unctions. Write c(x) = x + 6x in vertex form. A c(x) = (x ) 0 B c(x) = (x + ) 0 C c(x) = (x 6) D c(x) = (x 6). Use the Quadratic ormula to solve x + x =. ± i H ± i 5 ± i J 5 ± i 5. Write a quadratic equation that fits the points (, 7), (, 6), and (7, ). A x + 0x + C x + x + B x + x + D x + 5x Carmen is standing on the ground. She tries to throw a tennis ball over her house, but it hits the roof on the way down at a height of feet. The quadratic equation that models the path of the ball is b(t) = 6t + 56t. How long did it take for the ball to hit the roof after it left Carmen s hand? 0.75 seconds H.5 seconds.5 seconds J.75 seconds 7. Simplify + i. i A + 6i B + i C + 5i D i 8. Which of the following is a fifth degree trinomial with a quadratic term and a negative leading coefficient? + x 5 + x x 5 8x + H x x 5 + J x x 6x 9. Which of the following is equal to (x + x ) (x + x )? A x + 7x x 9x + B x + 7x x 9x + C x + 7x x 7x + D x + 7x x 7x + 0. Which of the following is equal to (p t)? 6p 8t 6p p t + 6p t pt + 8t H 6p p t + 6p t 5pt + 8t J 6p 96p t + 6p t 6pt + 8t. Which of the following is NOT a factor of (x x 5x 6x 6)? A x C x B x + D x +. If ( ) and ( ) + are two of the roots of a fourth degree polynomial with integer coefficients, which of the following is the product of the other two roots? H J Which of the following lists all the roots of x + x = 9 + x? A {} C {, ± i} B {, ± } D {, ±, ± i}. If f(x) = x x x, what is the y-intercept of g(x) = f(x )? 8 H J 0 6 Holt McDougal Algebra

5 5. Cumulative Test. C.. C. J 5. C D B 0. H. C.. B. 5. B 6. J 7. A A 0.. B.. D. H. 5. A 6. J 7. D C 0.. C. J. B. 5. D 6. J 7. B 8. H 9. A 0. J. A.. C. 59 Holt McDougal Algebra