AnswersAlgebra IQuadratic Functions

Practice Test Answers

18 verified answers
1
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Which statement is true about the functions?

A
The exponential function is generally growing slower than the linear function.
B
The exponential function is generally growing faster than the linear function.
C
The exponential function and the linear function are generally growing at the same rate.
D
The linear function is generally growing faster than the exponential function.
2
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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
negative 4 comma 0 and 9 comma 0
C
4 comma 0 and negative 9 comma 0
D
negative 3 comma 0 and 12 comma 0
3

Which statements are true about the graph of the function h of x is equal to negative 5 x squared plus 60 x minus 200 ? Choose three correct answers.

A
The value of k , when the equation is written in vertex form, is negative 200 .
B
The parabola has a maximum.
C
The graph of h of x will not intersect the graph of the parent function, f of x is equal to x squared .
D
The vertex of the graph is at 6 comma negative 20 .
E
The axis of symmetry is the line x is equal to negative 6 .
4

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 contains the point 20 comma negative 8 .
B
The graph of the function opens down.
C
The graph contains the point 0 comma 0 .
D
The graph of the function is a parabola.
E
The value of f of negative 10 is equal to 82 .
5

What is the y -value of the vertex of the function f of x is equal to negative open paren x minus 3 close paren times open paren x plus 11 close paren ?

A
49
B
negative 8
C
33
D
negative 4
6

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 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.
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 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.
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.
7

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

A
all real numbers greater than or equal to 7
B
all real numbers less than or equal to negative 3
C
all real numbers less than or equal to 7
D
all real numbers greater than or equal to negative 3
8

f of x is equal to 2 x minus 1 g of x is equal to 7 x minus 12 What is h of x is equal to f of x plus g of x ?

A
h of x is equal to 5 x minus 13
B
h of x is equal to 9 x minus 12
C
h of x is equal to 9 x minus 13
D
h of x is equal to negative 5 x plus 11
9

Which translation maps the vertex of the graph of the function f of x is equal to x squared onto the vertex of the function g of x is equal to x squared minus 10 x plus 2 ?

A
right 5 , down 23
B
right 5 , up 27
C
left 5 , down 23
D
left 5 , up 27
10

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
0
C
negative 4
D
negative 8
11

Jack and Susie want to save to buy a trampoline for their children. They each open a savings account that earns 1 point 5 percent a year. Jack opens his account with 1 dollars comma 000 , and Susie opens her account with 800 dollars x is equal to number of years The following functions represent the value of the savings accounts in x years: Jack’s savings account: f of x is equal to 1000 times 1 point 0 1 5 to the x th power Susie’s savings account: g of x is equal to 800 times 1 point 0 1 5 to the x th power Which function represents the total amount Jack and Susie will save in x years?

A
1800 times 1 point 0 3 0 to the x th power
B
1800 times 1 point 0 1 5 to the x th power
C
200 times 1 point 0 1 5 to the x th power
D
1800 times 1 point 0 1 5 raised to the 2 x power
12

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 domain is start set x such that x is greater than or equal to 3 end set .
B
The axis of symmetry is x is equal to negative 1 .
C
The function decreases over the interval open paren negative infinity comma 3 close paren .
D
The range is start set y such that y is greater than or equal to negative 1 end set .
E
The vertex is 3 comma negative 1 .
13

The function f of x is equal to negative 3 x squared plus 36 x minus 119 written in vertex form is f of x is equal to negative 3 times open paren x minus 6 close paren squared minus 11 Which statements are true about the graph of f of x ? Choose three correct answers.

A
The parabola opens down.
B
The vertex of the graph is at negative 6 comma negative 11 .
C
The axis of symmetry is the line x is equal to 6 .
D
The parabola has a minimum.
E
The value of h , when the equation is written in vertex form, is positive.
14

Which function has a vertex on the y -axis?

A
f of x is equal to x times open paren x plus 2 close paren
B
f of x is equal to open paren x plus 1 close paren times open paren x minus 2 close paren
C
f of x is equal to open paren x minus 2 close paren times open paren x plus 2 close paren
D
f of x is equal to open paren x minus 2 close paren squared
15

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 minus 2 close paren squared plus k
B
g of x is equal to open paren x plus 8 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
16

The pitcher releases the ball at the highest point in the curve, and the catcher is located at the y -axis. According to the table, how high is the ball when it reaches the catcher?

A
6 point 5 feet
B
2 point 5 feet
C
0 feet
D
56 feet
17

If both the x -axis and y -axis are measured in feet and the x -axis represents the ground, what is the width of the base of the piece of equipment?

A
16 ft
B
10 ft
C
8 ft
D
20 ft
18

Which rule can be used to describe the growth of the y -values of the function y is equal to 12 to the x th power over each interval from x is equal to negative 1 to x is equal to 3 ?

A
multiply by 12
B
add 12
C
add 1 , then 12 , then 144
D
multiply by 1 , then by 12 , then by 144

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