AnswersMathematics IQuadratic Functions

Practice Test Answers

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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
0 feet
B
2 point 5 feet
C
6 point 5 feet
D
56 feet
2
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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
20 ft
B
16 ft
C
8 ft
D
10 ft
3

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
negative 8
B
0
C
1
D
negative 4
4

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 minus 2 close paren squared
C
f of x is equal to open paren x plus 1 close paren times open paren x minus 2 close paren
D
f of x is equal to open paren x minus 2 close paren times open paren x plus 2 close paren
5

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 raised to the 2 x power
C
200 times 1 point 0 1 5 to the x th power
D
1800 times 1 point 0 1 5 to the x th power
6

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

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

A
Image with description On a coordinate plane, a parabola opens up. It goes through (negative 2 comma 3), has a vertex at (negative 1 comma 2), and goes through (0 comma 3).
B
Image with description On a coordinate plane, a parabola opens up. It goes through (negative 4 comma 3), has a vertex at (negative 2 comma negative 1), and goes through (0 comma 3).
C
Image with description On a coordinate plane, a parabola opens up. It goes through (0 comma 3), has a vertex at (1 comma 2), and goes through (2 comma 3).
D
Image with description On a coordinate plane, a parabola opens up. It goes through (0 comma 3), has a vertex at (2 comma negative 1), and goes through (4 comma 3).
8

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 range is start set y such that y is greater than or equal to negative 1 end set .
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 axis of symmetry is x is equal to negative 1 .
E
The domain is start set x such that x is greater than or equal to 3 end set .
9

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 9 x minus 13
B
h of x is equal to negative 5 x plus 11
C
h of x is equal to 5 x minus 13
D
h of x is equal to 9 x minus 12
10

Which statements about the function are true? Choose three correct answers.

A
The graph is negative on the interval x is less than negative 4 .
B
The graph is increasing on the interval x is greater than negative 3 .
C
The vertex of the function is at negative 3 comma negative 16 .
D
The graph is positive only on the intervals where x is less than negative 7 and where x is greater than 1 .
E
The vertex of the function is at negative 4 comma negative 15 .
11

Which statement is true about the functions?

A
The exponential function and the linear function are generally growing at the same rate.
B
The exponential function is generally growing faster than the linear function.
C
The linear function is generally growing faster than the exponential function.
D
The exponential function is generally growing slower than the linear function.
12

Which is f of 6 for the quadratic function graphed?

A
4
B
negative 2
C
negative 0 point 5
D
1 point 5
13

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
add 1 , then 12 , then 144
B
add 12
C
multiply by 1 , then by 12 , then by 144
D
multiply by 12
14

Which statement about the function is true?

A
The domain of the function is all real numbers less than or equal to negative 2 .
B
The range of the function is all real numbers less than or equal to 9 .
C
The domain of the function is all real numbers less than or equal to 9 .
D
The range of the function is all real numbers less than or equal to negative 2 .

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