Addition and Subtraction of Polynomials Answers

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The first steps in writing f(x) = 4x2 + 48x + 10 in vertex form are shown.f(x) = 4(x2 + 12x) + 10 = 36

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A
f(x) = 4(x + 6)2 + 10
B
f(x) = 4(x + 6)2 – 26
C
f(x) = 4(x + 6)2 – 134
D
f(x) = 4(x + 6)2 + 154
28
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Which equation is the inverse of y = 9x2 – 4?

A
y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 9 EndFraction
Option A
B
y = plus-or-minus StartRoot StartFraction x Over 9 EndFraction + 4 EndRoot
Option B
C
y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 3 EndFraction
Option C
D
y = StartFraction plus-or-minus StartRoot x EndRoot Over 3 EndFraction + two-thirds
Option D
29

The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.Write the function in standard form.f(x) = 5x2 + 40xFactor a out of the first two terms.f(x) = 5(x2 + 8x)Form a perfect square trinomial. = 16 f(x) = 5(x2 + 8x + 16) – 5(16)What is the function written in vertex form?

Question illustration
A
f(x) = 5(x + 4) – 80
B
f(x) = 5(x + 8) – 80
C
f(x) = 5(x + 4)2 – 80
D
f(x) = 5(x + 8)2 – 80
30

What is the domain of the function ?

Question illustration
A
x greater-than-or-equal-to negative 5
Option A
B
x greater-than-or-equal-to 2
Option B
C
x greater-than-or-equal-to 5
Option C
D
x greater-than-or-equal-to 10
Option D
31

Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = –x2 + 16x – 44?

A
The graph of f(x) = x2 is widened.
B
The graph of f(x) = x2 is shifted left 8 units.
C
The graph of f(x) = x2 is shifted down 44 units.
D
The graph of f(x) = x2 is reflected over the x-axis.

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