Chapter 4 (Advanced Math-Zeros, Parabolas, and Polynomial Graphing )

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10 questions , 15 mins

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Ms.Eman Gamal

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Chapter 4 (Advanced Math-Zeros, Parabolas, and Polynomial Graphing )


Chapter 4 (Advanced Math-Zeros, Parabolas, and Polynomial Graphing )Versión en línea 10 questions , 15 mins por Ms.Eman Gamal 1 (Medium) Which of the following equations has the same x- and y-coordinates for the vertex as does y = 3(x − 4)(x + 6)? a y = x² − 8x + 15 b y = 3(x² + 4x − 6) c y = 3(x + 1)² − 75 d y = 3x² + 6x − 10 2 (Medium) The function g is defined by g(x) = 2x² + 15x − 8. The x-coordinate of the vertex of the graph is contained within which of the following intervals? a 1/2 < x < 8 b −2 < x < 2 c −3.65 < x < −2 d −4 < x < 6 3 (Easy) The equation below represents a parabola in the xy-plane. Which of the following equations shows the x-intercepts of the parabola as constants or coefficients? y = x² + 2x − 24 a y − 24 = x(x + 2) b y = (x + 1)² − 25 c y = (x + 6)(x − 4) d y = x(x + 2) − 24 4 (Medium) Which of the following equations has only one x-intercept in the xy-plane? a x² + 2x − 48 = y b x² + 11x + 30 = y c x² − 6x + 8 = y d x² + 6x + 9 = y 5 (Medium) A furniture manufacturer of office chairs uses the following profit function. P(x) = −0.08x² + 23.1x + 500 where x represents the number of chairs manufactured and P(x) is profit in dollars. What is the most profitable number of chairs to manufacture? (Round your answer to the nearest whole number.) Written answer 6 (Hard) Which of the following is true about the graph of the equation y = 4(x − 3)² + 13? a The graph is wider than the graph of y = (x − 3)² + 13. b It has no real roots. c Its minimum value is −3. d Its roots are x = 3 and x = −13. 7 (Hard) The equation below shows the height of a ball thrown upward from ground level with an initial velocity of 32 meters per second. h = −4.9t² + 32t After approximately how many seconds will the ball hit the ground? a 5.6 b 6.5 c 7.4 d 8.2 8 (Hard) The equation below shows the height of a ball thrown upward from ground level with an initial velocity of 32 meters per second. After how many seconds will the ball be 18 meters in the air? h = −4.9t² + 32t a 2.2 b 4.3 c 0.6 and 5.9 d 0.6 or 6.3 9 (Medium) Which of the following is an equivalent form of the function h such that the minimum value of h appears as a constant or coefficient? h(x) = (x − 8)(x + 2) a h(x) = x² − 6x − 16 b h(x) = x² + 6x − 16 c h(x) = (x − 3)² − 25 d h(x) = (x + 3)² − 25 10 (Hard) Consider the graph of the equation below. How many times would it intersect f(x) = −3? Written answer

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Chapter 4 (Advanced Math-Zeros, Parabolas, and Polynomial Graphing )

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Chapter 4 (Advanced Math-Zeros, Parabolas, and Polynomial Graphing )Versión en línea

por Ms.Eman Gamal

(Medium) Which of the following equations has the same x- and y-coordinates for the vertex as does y = 3(x − 4)(x + 6)?

(Medium) The function g is defined by g(x) = 2x² + 15x − 8. The x-coordinate of the vertex of the graph is contained within which of the following intervals?

(Easy) The equation below represents a parabola in the xy-plane. Which of the following equations shows the x-intercepts of the parabola as constants or coefficients? y = x² + 2x − 24

(Medium) Which of the following equations has only one x-intercept in the xy-plane?

Written answer

(Hard) Which of the following is true about the graph of the equation y = 4(x − 3)² + 13?

(Hard) The equation below shows the height of a ball thrown upward from ground level with an initial velocity of 32 meters per second. h = −4.9t² + 32t After approximately how many seconds will the ball hit the ground?

(Hard) The equation below shows the height of a ball thrown upward from ground level with an initial velocity of 32 meters per second. After how many seconds will the ball be 18 meters in the air? h = −4.9t² + 32t

(Medium) Which of the following is an equivalent form of the function h such that the minimum value of h appears as a constant or coefficient? h(x) = (x − 8)(x + 2)

(Hard) Consider the graph of the equation below. How many times would it intersect f(x) = −3?

Written answer