question

Use completing the square to solve for mc024-1.jpg in the equation mc024-2.jpg.

answer

c x = 1 + 89

question

Solve for mc022-1.jpg in the equation mc022-2.jpg.

answer

d x= 1 + 47

question

Solve for mc018-1.jpg in the equation mc018-2.jpg.

answer

a x = 2 + 42

question

Which value must be added to the expression x2 + 16x to make it a perfect-square trinomial?

answer

64

question

Solve for mc010-1.jpg in the equation mc010-2.jpg.

answer

x = -16 or x -4

question

Solve for mc011-1.jpg in the equation mc011-2.jpg.

answer

x = -1 + 17

question

What are the solutions of the equation mc028-1.jpg?

answer

x = 3 or -7

question

Solve for mc019-1.jpg in the equation mc019-2.jpg.

answer

x -7 +8i

question

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?

answer

9

question

Solve for mc016-1.jpg in the equation mc016-2.jpg.

answer

x 5+ 35

question

The graph of an equation with a negative discriminant always has which characteristic?

answer

no x-intercept

question

What is the discriminant of 3x2 + 6x = 2?

answer

60

question

Using the quadratic formula to solve x2 = 5 - x, what are the values of x?

answer

a

question

Which equation could generate the curve in the graph below?

answer

y = 3x2 - 2x + 1

question

If the discriminant of a quadratic equation is equal to mc027-1.jpg, which statement describes the roots?

answer

There are two complex roots.

question

Which equation could generate the curve in the graph below?

answer

y = -2x2 - 16x- 28

question

What is the discriminant of 9x2 + 2 = 10x?

answer

28

question

Which equation has the solutions mc012-1.jpg?

answer

x2 + 3x + 3 = 0

question

Which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x?

answer

d

question

Which equation can be solved using the expression mc003-1.jpg for x?

answer

2 = 3x + 10x2

question

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?

answer

the value of a remains the same

question

What is the first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x - h)2 + k?

answer

6 must be factored from 6x2 + 18x

question

Which pair of equations generates graphs with the same vertex?

answer

y = -4x2 and y = 4x2

question

Which phrase best describes the translation from the graph y = 6x2 to the graph of y = 6(x + 1)2?

answer

1 unit left

question

Which equation has a graph that is a parabola with a vertex at (-2, 0)?

answer

y = (x + 2)2

question

Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form?

answer

b

question

What is the first step when rewriting y = 3x2 + 9x - 18 in the form y = a(x - h)2 + k?

answer

3 must be factored from 3x2 + 9x

question

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?

answer

4 units to the left

question

Which equation has a graph that is a parabola with a vertex at (5, 3)?

answer

y = (x - 5)2 + 3

question

Which equation has a graph that is a parabola with a vertex at (-1, -1)?

answer

y = (x + 1)2 - 1

question

If mc016-1.jpg, which inequality can be used to find the domain of f(x)?

answer

c

question

Which equation is the inverse of y = 16x2 + 1?

answer

d

question

Which equation is the inverse of y = 100 - x2?

answer

a

question

If fx = x-3, which inequality can be used to find the domain of f(x)?

answer

b

question

Which equation can be simplified to find the inverse of y = 2x2?

answer

d

question

What is the domain of the function y=sqr x+6-7

answer

b

question

Which equation can be simplified to find the inverse of y = 5x2 + 10?

answer

a

question

What is the domain of the square root function graphed below?

answer

d

question

Which equation is the inverse of 5y+4=(x+362+1/2

answer

d

question

What is the domain of the square root function graphed below?

answer

d

question

What are the solutions of the following system? -5

answer

c

question

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?

answer

2

question

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?

answer

The parabola opens downward.

question

Which equation could be used to solve the following system?

answer

4(11 - y)2 - 3y2 = 8

question

Consider the following system of equations.

answer

The graphs of the equations intersect each other at two places.

question

Which graph shows the system mc021-1.jpg?

answer

a

question

How many solutions exist for the mixed-degree system graphed below?

answer

2

question

Which system is equivalent to mc005-1.jpg?
y=x-2

answer

c

question

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.

answer

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.

question

How many solutions exist for the mixed-degree system graphed below?

answer

1