Answers FL-1200330-Algebra 2 CRModeling with Quadratic Equations

Modeling with Quadratic Equations — Unit test Answers

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The table below shows the data for a car stopping on a wet road. What is the approximate stopping distance for a car traveling 35 mph? Car Stopping Distancesv(mph)d(ft)1517.92031.850198.7

41.7 ft

49.7 ft

97.4 ft

115.3 ft

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The tables for f(x) and g(x) are shown below.xf(x)–5–11–21113529xg(x)–5–7–2–115513What is the value of (f – g)(5)?

–18

–4

Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y, of the rectangular garden that she creates if one side is x feet long?A = lw

y = (60 – x)(x)

y = (120 – x)(120 + x)

y = (120 – x)(x)

y = (60 – x)(60 + x)

If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?

5(4 + 4) – 6

5(5(4) – 6) – 6

54 – 6 + 54 – 6

5(4) – 6 + 5(4) – 6

If g(x) is an odd function, which function must be an even function?

f(x) = g(x) + 2

f(x) = g(x) + g(x)

f(x) = g(x)2

f(x) = –g(x)

For which pair of functions is ?

f(x) = 3 – 4x and g(x) = 16x – 3

f(x) = 6x2 and

and g(x) = 144x

f(x) = 4x and g(x) = 3x

Which statement verifies that f(x) and g(x) are inverses of each other?

Option

and

Option

and

Harlon wrote the equation to find the area of a rectangle that has a length of and a width of 18. He solved for x and got Which of the following is an equivalent equation for x?

x = plus-or-minus StartRoot StartFraction uppercase A minus 18 Over 18 EndFraction EndRoot

x = plus-or-minus StartRoot StartFraction uppercase A + 18 Over 18 EndFraction EndRoot

x = plus-or-minus StartRoot uppercase A minus 36 EndRoot

x = plus-or-minus StartRoot uppercase A + 36 EndRoot

The formula for the volume of a pyramid is Which of the following equations is equivalent to the given formula?

uppercase B = StartFraction 3 uppercase V Over h EndFraction

uppercase B = StartFraction 3 h Over uppercase V EndFraction

uppercase B = StartFraction uppercase V minus one-third Over h EndFraction

uppercase B = StartFraction uppercase V + one-third Over h EndFraction

Louis used a quadratic equation to model the height, y, of a falling object x seconds after it is dropped. Which ordered pair generated by this model should be discarded because the values are unreasonable?

(–4, 1)

Option

(6, 0)

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of ?

all real values of x

all real values of x except x = 5

all real values of x except x = –5

all real values of x except x = 5 and x = –5

Which is the graph of reflected across the x-axis, translated 3 units left, 4 units up, and dilated by a factor of 4?

Option

The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of ?

u(x) 0 and v(x) 2

x 0 and x cannot be any value for which u(x) 2

x 2 and x cannot be any value for which v(x) 0

u(x) 2 and v(x) 0

If the function has an inverse function, which statement must be true?

b not-equals 0

Option

An egg is dropped from a height of 90 ft. If acceleration due to gravity is –16 ft/s2 and initial velocity is 0 ft/s, approximately how long will it take for the egg to reach the ground?h(t) = at2 + vt + h0

1.9 s

2.4 s

9.7 s

40.7 s

If g(x) = 3x is graphed on a coordinate plane, what is the y-intercept of the graph?