AnswersAlgebra 1Introduction to Quadratic Functions

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Which represents a quadratic function?

A
f of x is equal to negative 3 x plus 2
B
f of x is equal to negative 7 x squared minus x plus 2
C
f of x is equal to 0 x squared plus 3 x minus 3
D
f of x is equal to 2 x cubed plus 2 x squared minus 4
2
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Which equation represents a quadratic function with a leading coefficient of 2 and a constant term of negative 3 ?

A
f of x is equal to 2 x squared plus 3 x minus 3
B
f of x is equal to negative 3 x squared minus 3 x plus 2
C
f of x is equal to negative 3 x cubed plus 2
D
f of x is equal to 2 x cubed minus 3
3

When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown? 2 plus 7 c minus 4 c squared minus 3 c plus 4

A
negative 7 c squared plus 10 c plus 6
B
negative 7 c squared plus 7 c plus 6
C
negative 4 c squared plus 4 c plus 8
D
negative 4 c squared plus 4 c plus 6
4

Which function increases at the fastest rate between x is equal to 0 and x is equal to 8 ?

A
Linear Function f of x is equal to 2 x plus 2 Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, '0'; Column 2, '2' Row 3: Column 1, '2'; Column 2, '6' Row 4: Column 1, '4'; Column 2, '10' Row 5: Column 1, '6'; Column 2, '14' Row 6: Column 1, '8'; Column 2, '18'
B
Exponential Function f of x is equal to 2 to the x th power plus 2 Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, '0'; Column 2, '3' Row 3: Column 1, '2'; Column 2, '6' Row 4: Column 1, '4'; Column 2, '18' Row 5: Column 1, '6'; Column 2, '66' Row 6: Column 1, '8'; Column 2, '258'
C
Quadratic Function f of x is equal to 2 x squared plus 2 Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, '0'; Column 2, '2' Row 3: Column 1, '2'; Column 2, '10' Row 4: Column 1, '4'; Column 2, '34' Row 5: Column 1, '6'; Column 2, '74' Row 6: Column 1, '8'; Column 2, '130'
D
Linear Function f of x is equal to 3 x plus 2 Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, '0'; Column 2, '2' Row 3: Column 1, '2'; Column 2, '8' Row 4: Column 1, '4'; Column 2, '14' Row 5: Column 1, '6'; Column 2, '20' Row 6: Column 1, '8'; Column 2, '26'
6

Martha wrote an example of a quadratic function for a homework assignment. The function she wrote is shown. Martha's Work f of x is equal to 5 x cubed plus 2 x squared plus 7 x minus 3 What possible changes can Martha make to correct her homework assignment? Choose two correct answers.

A
The constant, negative 3 , can be changed to a variable.
B
The exponent on the second term, 2 x squared , can be changed to a 3 and then combined with the first term, 5 x cubed .
C
The first term, 5 x cubed , can be eliminated.
D
The 7 x can be eliminated.
E
The exponent on the first term, 5 x cubed , can be changed to a 2 and then combined with the second term, 2 x squared .
8

Which is f of 5 for the function negative 2 x squared plus 2 x minus 3 ?

A
negative 107
B
negative 43
C
negative 37
D
negative 63
9

When the polynomial is written in standard form, what are the values of the leading coefficient and the constant? 5 x plus 2 minus 3 x squared

A
The leading coefficient is 5 , and the constant is 2 .
B
The leading coefficient is 2 , and the constant is 5 .
C
The leading coefficient is 2 , and the constant is negative 3 .
D
The leading coefficient is negative 3 , and the constant is 2 .
10

Which graph represents a quadratic function with a vertex at 0 comma 0 ?

A
Image with description A coordinate plane with the x-axis labeled from negative 7.5 to 7.5 and the y-axis labeled from negative 2 to 6. An upward-opening parabola is plotted that passes through the point negative 2.5 comma 6, has a vertex at the point 3 comma 0, and passes through the point 7.5 comma 4.
B
Image with description A coordinate plane with the x-axis labeled from negative 7.5 to 7.5 and the y-axis labeled from negative 2 to 6. An upward-opening parabola is plotted that passes through the point negative 5 comma 6, has a vertex at the point 0 comma 0, and passes through the point 5 comma 6.
C
Image with description A coordinate plane with the x-axis labeled from negative 7.5 to 7.5 and the y-axis labeled from negative 2 to 6. An upward-opening parabola is plotted that passes through the point negative 5 comma 6, has a vertex at the point 0 comma 1, and passes through the point 5 comma 6.
D
Image with description A coordinate plane with the x-axis labeled from negative 7.5 to 7.5 and the y-axis labeled from negative 2 to 6. An upward-opening parabola is plotted that passes through the point negative 6 comma 6, has a vertex at the point 0 comma negative 1, and passes through the point 6 comma 6.

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