# completeing the sqaure

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 Use completing the square to solve for mc024-1.jpg in the equation mc024-2.jpg. c x = 1 + 89 Solve for mc022-1.jpg in the equation mc022-2.jpg. d x= 1 + 47 Solve for mc018-1.jpg in the equation mc018-2.jpg. a x = 2 + 42 Which value must be added to the expression x2 + 16x to make it a perfect-square trinomial? 64 Solve for mc010-1.jpg in the equation mc010-2.jpg. x = -16 or x -4 Solve for mc011-1.jpg in the equation mc011-2.jpg. x = -1 + 17 What are the solutions of the equation mc028-1.jpg? x = 3 or -7 Solve for mc019-1.jpg in the equation mc019-2.jpg. x -7 +8i Amira is solving the equation x2 – 6x = 1. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial? 9 Solve for mc016-1.jpg in the equation mc016-2.jpg. x 5+ 35 The graph of an equation with a negative discriminant always has which characteristic? no x-intercept What is the discriminant of 3×2 + 6x = 2? 60 Using the quadratic formula to solve x2 = 5 – x, what are the values of x? a Which equation could generate the curve in the graph below? y = 3×2 – 2x + 1 If the discriminant of a quadratic equation is equal to mc027-1.jpg, which statement describes the roots? There are two complex roots. Which equation could generate the curve in the graph below? y = -2×2 – 16x- 28 What is the discriminant of 9×2 + 2 = 10x? 28 Which equation has the solutions mc012-1.jpg? x2 + 3x + 3 = 0 Which equation shows the quadratic formula used correctly to solve 7×2 = 9 + x for x? d Which equation can be solved using the expression mc003-1.jpg for x? 2 = 3x + 10×2 Christian is rewriting an expression of the form y = ax2 + bx + c in the form y = a(x – h)2 + k. Which of the following must be true? the value of a remains the same What is the first step when rewriting y = 6×2 + 18x + 14 in the form y = a(x – h)2 + k? 6 must be factored from 6×2 + 18x Which pair of equations generates graphs with the same vertex? y = -4×2 and y = 4×2 Which phrase best describes the translation from the graph y = 6×2 to the graph of y = 6(x + 1)2? 1 unit left Which equation has a graph that is a parabola with a vertex at (-2, 0)? y = (x + 2)2 Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form? b What is the first step when rewriting y = 3×2 + 9x – 18 in the form y = a(x – h)2 + k? 3 must be factored from 3×2 + 9x Which phrase best describes the translation from the graph y = 2(x – 15)2 + 3 to the graph of y = 2(x – 11)2 + 3? 4 units to the left Which equation has a graph that is a parabola with a vertex at (5, 3)? y = (x – 5)2 + 3 Which equation has a graph that is a parabola with a vertex at (-1, -1)? y = (x + 1)2 – 1 If mc016-1.jpg, which inequality can be used to find the domain of f(x)? c Which equation is the inverse of y = 16×2 + 1? d Which equation is the inverse of y = 100 – x2? a If fx = x-3, which inequality can be used to find the domain of f(x)? b Which equation can be simplified to find the inverse of y = 2×2? d What is the domain of the function y=sqr x+6-7 b Which equation can be simplified to find the inverse of y = 5×2 + 10? a What is the domain of the square root function graphed below? d Which equation is the inverse of 5y+4=(x+362+1/2 d What is the domain of the square root function graphed below? d What are the solutions of the following system? -5 c Pablo graphs a system of equations. One equation is quadratic and the other equation is linear. What is the greatest number of possible solutions to this system? 2 The vertex of a parabola is in the first quadrant of a coordinate grid. A line with a negative slope passes through the origin. If the parabola and line intersect at the origin, which statement must be true? The parabola opens downward. Which equation could be used to solve the following system? 4(11 – y)2 – 3y2 = 8 Consider the following system of equations. The graphs of the equations intersect each other at two places. Which graph shows the system mc021-1.jpg? a How many solutions exist for the mixed-degree system graphed below? 2 Which system is equivalent to mc005-1.jpg? y=x-2 c Parabola A can be represented using the equation (x + 3)2 = y, while Line B can be represented using the equation y = mx + 9. Isabel determines one solution to the system of two equations must always pass through the vertex of Parabola A. c. Isabel is incorrect because the point of intersection between Line B and Parabola A that can be determined is the y-intercept of the functions, not necessarily the vertex. How many solutions exist for the mixed-degree system graphed below? 1

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