AnswersAlgebra IQuadratic Functions

Practice Test Answers

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4

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

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 0 comma 0 .
B
The graph contains the point 20 comma negative 8 .
C
The graph of the function is a parabola.
D
The graph of the function opens down.
E
The value of f of negative 10 is equal to 82 .
6

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 vertex of the graph is at negative 6 comma negative 11 .
B
The value of h , when the equation is written in vertex form, is positive.
C
The parabola opens down.
D
The axis of symmetry is the line x is equal to 6 .
E
The parabola has a minimum.
8

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 graph of h of x will not intersect the graph of the parent function, f of x is equal to x squared .
B
The value of k , when the equation is written in vertex form, is negative 200 .
C
The parabola has a maximum.
D
The axis of symmetry is the line x is equal to negative 6 .
E
The vertex of the graph is at 6 comma negative 20 .
9

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 7
D
all real numbers greater than or equal to negative 3
10

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
negative 4 comma 0 and 9 comma 0
B
negative 3 comma 0 and 12 comma 0
C
3 comma 0 and negative 12 comma 0
D
4 comma 0 and negative 9 comma 0
11

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 times open paren x plus 2 close paren
C
f of x is equal to open paren x minus 2 close paren squared
D
f of x is equal to open paren x plus 1 close paren times open paren x minus 2 close paren
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 range is start set y such that y is greater than or equal to negative 1 end set .
B
The axis of symmetry is x is equal to negative 1 .
C
The vertex is 3 comma negative 1 .
D
The domain is start set x such that x is greater than or equal to 3 end set .
E
The function decreases over the interval open paren negative infinity comma 3 close paren .
13

Which function does the graph represent?

A
f of x is equal to open paren x minus 2 close paren squared plus 3
B
f of x is equal to negative open paren x plus 2 close paren squared plus 3
C
f of x is equal to open paren x plus 2 close paren squared plus 3
D
f of x is equal to negative open paren x minus 2 close paren squared plus 3
14

Which function can be used to model the monthly profit for x trinkets produced?

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

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