AnswersAlgebra Concepts and ConnectionsModeling and Analyzing Quadratic Functions: Part Two

Practice Test Answers

17 verified answers
1
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Which equation can be used to find the dimensions of the patio?

A
0 point 5 x open paren x plus 5 close paren is equal to 29
B
x squared plus open paren x plus 5 close paren squared is equal to 29
C
0 point 5 x open paren x plus 5 close paren is equal to 841
D
x squared plus open paren x plus 5 close paren squared is equal to 841
2
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Which function can be used to model the monthly profit for x trinkets produced?

A
f of x is equal to 1 twenty-eighth open paren x plus 50 close paren open paren x plus 250 close paren
B
f of x is equal to negative 1 fourth open paren x minus 50 close paren open paren x minus 250 close paren
C
f of x is equal to negative 4 open paren x minus 50 close paren open paren x minus 250 close paren
D
f of x is equal to 28 open paren x plus 50 close paren open paren x plus 250 close paren
3

Which is the graph of the function f of x is equal to x squared plus 2 x plus 3 ?

A
Image with description A coordinate plane with a horizontal axis labeled x and a vertical axis labeled y. The scale on both axes ranges from negative 5 to 5 with an interval of 1 unit. An upward-opening U-shaped parabola has its vertex at negative 2 comma negative 1. On the left, the curve passes through negative 3 comma 0 and negative 4 comma 3. On the right, the curve passes through negative 1 comma 0 and 0 comma 3. Both ends extend upward to the top edge of the grid near 5.
B
Image with description A coordinate plane with a horizontal axis labeled x and a vertical axis labeled y. The scale on both axes ranges from negative 5 to 5 with an interval of 1 unit. An upward-opening U-shaped parabola has its vertex at 1 comma 2. The curve passes through 0 comma 3 and 2 comma 3, with both ends extending upward to the top edge of the grid near 5.
C
Image with description A coordinate plane with a horizontal axis labeled x and a vertical axis labeled y. The scale on both axes ranges from negative 5 to 5 with an interval of 1 unit. An upward-opening U-shaped parabola has its vertex at negative 1 comma 2. The curve passes through negative 2 comma 3 and 0 comma 3, with both ends extending upward to the top edge of the grid near 5.
D
Image with description A coordinate plane with a horizontal axis labeled x and a vertical axis labeled y. The scale on both axes ranges from negative 5 to 5 with an interval of 1 unit. An upward-opening U-shaped parabola has its vertex at 2 comma negative 1. On the left, the curve passes through 1 comma 0 and 0 comma 3. On the right, the curve passes through 3 comma 0 and 4 comma 3. Both ends extend upward to the top edge of the grid near 5.
5

Gerald graphs the function f of x is equal to x negative 3 squared negative 1 Which statements are true about the graph? Choose three correct answers.

A
The axis of symmetry is x is equal to negative 1 .
B
The vertex is 3 comma negative 1 .
C
The function decreases over the interval open paren negative infinity comma 3 close paren .
D
The domain is start set x such that x is greater than or equal to 3 end set .
E
The range is start set y such that y is greater than or equal to negative 1 end set .
6

Consider the quadratic function f of x is equal to 1 fifth x squared minus 5 x plus 12 Which statements are true about the function and its graph? Choose three correct answers.

A
The graph of the function is a parabola.
B
The graph contains the point 20 comma negative 8 .
C
The graph contains the point 0 comma 0 .
D
The value of f of negative 10 is equal to 82 .
E
The graph of the function opens down.
7

The function g of x is a translation of f of x is equal to open paren x plus 3 close paren squared minus 10 The axis of symmetry of g of x is 5 units to the right of f of x Which function could be g of x ?

A
g of x is equal to open paren x plus 8 close paren squared plus k
B
g of x is equal to open paren x minus 2 close paren squared plus k
C
g of x is equal to open paren x minus h close paren squared minus 5
D
g of x is equal to open paren x minus h close paren squared minus 15
8

What are the x -intercepts of the graph of the function f of x is equal to x squared plus 5 x minus 36 ?

A
3 comma 0 and negative 12 comma 0
B
4 comma 0 and negative 9 comma 0
C
negative 3 comma 0 and 12 comma 0
D
negative 4 comma 0 and 9 comma 0
9

Which equation is y is equal to negative 6 x squared plus 3 x plus 2 rewritten in vertex form?

A
y is equal to negative 6 times open paren x plus 1 fourth close paren squared plus 13 eighths
B
y is equal to negative 6 times open paren x minus 1 half close paren squared plus 7 halves
C
y is equal to negative 6 times open paren x minus 1 fourth close paren squared plus 19 eighths
D
y is equal to negative 6 times open paren x minus 1 close paren squared plus 8
10

Clara writes the equation open paren x minus 13 close paren times open paren x plus 8 close paren is equal to 196 to solve for the missing side length of a rectangle represented by the factor x plus 8 What is the missing side length represented by x plus 8 units of the rectangle?

A
7
B
28
C
15
D
20
11

What is the range of the function f of x is equal to negative x plus 3 squared plus 7 ?

A
all real numbers less than or equal to negative 3
B
all real numbers less than or equal to 7
C
all real numbers greater than or equal to negative 3
D
all real numbers greater than or equal to 7
12

Solve x squared plus 6 x is equal to 7 by completing the square. Which is the solution set of the equation?

A
start set 3 minus square root of 10 comma 3 plus square root of 10 end set
B
start set 1 comma 7 end set
C
start set negative 7 comma 1 end set
D
start set negative 3 minus square root of 10 comma negative 3 plus square root of 10 end set
13

Two numbers are 10 units away in different directions from their midpoint, m , on a number line. The product of the numbers is negative 99 Which equation can be used to find m , the midpoint of the two numbers?

A
m squared minus 25 is equal to negative 99
B
open paren m minus 5 close paren times open paren m plus 5 close paren is equal to 99
C
m squared minus 100 is equal to negative 99
D
open paren m minus 10 close paren times open paren m plus 10 close paren is equal to 99
14

Between which two ordered pairs does the graph of f of x is equal to 1 half x squared plus x minus 9 cross the negative x -axis? Quadratic formula: x is equal to the fraction with numerator negative b plus or minus square root of b squared minus 4 A c end root and denominator 2 A

A
negative 4 comma 0 and negative 3 comma 0
B
negative 2 comma 0 and negative 1 comma 0
C
negative 3 comma 0 and negative 2 comma 0
D
negative 6 comma 0 and negative 5 comma 0
15

Consider the quadratic function f of x is equal to x squared minus 8 x minus 4 What is the value of the leading coefficient?

A
1
B
negative 8
C
0
D
negative 4
16

A quadratic equation has zero real number solutions. Which could be the discriminant value associated with this equation?

A
0
B
negative 5
C
6
D
1
17

A rectangle’s length is 5 inches more than twice its width. Its area is 50 square inches. Which equation can be used to find its width, w ?

A
2 w open paren 2 w plus 5 close paren is equal to 50
B
2 w open paren w plus 5 close paren is equal to 50
C
w times open paren w plus 5 close paren is equal to 50
D
w times open paren 2 w plus 5 close paren is equal to 50
18

Which equation is y is equal to 3 times open paren x minus 2 close paren squared minus open paren x minus 5 close paren squared rewritten in vertex form?

A
y is equal to 2 times open paren x minus 1 close paren squared minus 11
B
y is equal to 2 times open paren x minus 1 half close paren squared minus 53 fourths
C
y is equal to 3 times open paren x minus 7 halves close paren squared minus 27 fourths
D
y is equal to 2 times open paren x minus 1 half close paren squared minus 27 halves

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