Introduction to Quadratic Functions Answers
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A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 21, 10, 5, 6, 13.
A
f(x) = 3x2 + 2x – 5B
f(x) = 3x2 – 2x + 5C
f(x) = 2x2 + 3x – 5D
f(x) = 2x2 – 2x + 53
Which graph represents a quadratic function with a vertex at (0, 0)?
A
On a coordinate plane, a parabola opens up. It goes through (negative 5, 6), has a vertex of (0, 1), and goes through (5, 6).
B
On a coordinate plane, a parabola opens up. It goes through (negative 6, 6), has a vertex of (0, negative 1), and goes through (6, 6).
C
On a coordinate plane, a parabola opens up. It goes through (negative 5, 6), has a vertex of (0, 0), and goes through (5, 6).
D
On a coordinate plane, a parabola opens up. It goes through (negative 2.5, 6), has a vertex of (3, 0), and goes through (7.5, 4).
5
The graph of f(x) is shown.
A
–2 to –1B
–1.5 to 0.5C
0 to 1D
0.5 to 1.56
Which represents a quadratic function?
A
f(x) = 2x3 + 2x2 – 4B
f(x) = –7x2 – x + 2C
f(x) = –3x + 2D
f(x) = 0x2 + 3x – 37
Which is f(5) for the function –2x2 + 2x – 3?
A
–107B
–63C
–43D
–378
Which graph shows a negative rate of change for the interval 0 to 2 on the x-axis?
A
On a coordinate plane, a parabola opens up. It goes through (negative 6, 3), has a vertex of (negative 1.5 negative 3.75), and goes through (3.2, 4).
B
On a coordinate plane, a parabola opens up. It goes through (negative 5.5, 4), has a vertex of (negative 1, negative 3.2), and goes through (3.5, 4).
C
On a coordinate plane, a parabola opens up. It goes through (negative 1, 4), has a vertex of (2.5, 0.25), and goes through (5.8, 4).
D
On a coordinate plane, a parabola opens up. It goes through (negative 3.4, 4), has a vertex of (1.5, negative 3.75), and goes through (6, 3).
9
What possible changes can Martha make to correct her homework assignment? Select two options.
A
The first term, 5x3, can be eliminated.B
The exponent on the first term, 5x3, can be changed to a 2 and then combined with the second term, 2x2.C
The exponent on the second term, 2x2, can be changed to a 3 and then combined with the first term, 5x3.D
The constant, –3, can be changed to a variable.E
The 7x can be eliminated.10
When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?2 + 7c – 4c2 – 3c + 4
A
–4c2 + 4c + 6B
–7c2 + 10c + 6C
–4c2 + 4c + 8D
–7c2 + 7c + 6Did you find these answers helpful?
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