Introduction to Quadratic Functions Answers
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1
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Which represents a quadratic function?
A
f(x) = 2x3 + 2x2 – 4B
f(x) = –7x2 – x + 2C
f(x) = –3x + 2D
f(x) = 0x2 + 3x – 32
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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.3
What is f(−3) for the function f(a)=−2a2−5a+4?
A
−29B
−23C
1D
374
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).
5
Which function increases at the fastest rate between x = 0 and x = 8?
A
A 2-column table with 5 rows titled Linear Function with the equation f of x = 2 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 6, 10, 14, 18.
B
A 2-column table with 5 rows titled Exponential Function with the equation f of x = 2 Superscript x Baseline + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 3, 6, 18, 66, 258.
C
A 2-column table with 5 rows titled Quadratic Function with the equation f of x = 2 x squared + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 10, 34, 74, 130.
D
A 2-column table with 5 rows titled Linear Function with the equation f of x = 3 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 8, 14, 20, 26.
6
On a coordinate plane, a parabola opens down. It goes through (negative 1.9, negative 4), has a vertex of (0.5, 3.2), and goes through (3, negative 4).
A
–2 to –1B
–1.5 to 0C
0 to 1D
1 to 2.58
The graph of f(x) is shown.
A
–2 to –1B
–1.5 to 0.5C
0 to 1D
0.5 to 1.59
When the polynomial is written in standard form, what are the values of the leading coefficient and the constant?5x + 2 – 3x2
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 –3, and the constant is 2.D
The leading coefficient is 2, and the constant is –3.10
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).
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