##### Notes

This printable supports Common Core Mathematics Standards HSF-IF.C.7c, HSF-IF.C.7d, HSF-IF.C.8a

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1.
A fish jumps in the water near the dock. If its jump can be described in feet by the equation $y=-x^2+11x-30$, how far did the fish jump (the distance from exiting to re-entering the water)?
1. 5 ft
2. 6 ft
3. 1.5 ft
4. 1 ft
2.
A belted kingfisher sits on a branch watching for fish in the water. It dives from the branch when it sights a fish. Its flight path is described as $y=x^2-4.25x+4.125$, where y is the height and x is the time in seconds. At what times does the bird enter and exit the water?
1. 1.5 s and 2.75 s
2. -2.5 s and 1.75 s
3. -1.5 s and -2.75 s
4. 0 s and 4.125 s
3.
A bridge with a parabolic arch crosses a highway that is 30 m wide. The arch is 6 m high in the center and 4 m high at the edges of the highway. How wide is the arch at ground level, to the nearest meter?
1. 40 m
2. 17 m
3. 52 m
4. 36 m
4.
What are the roots of the equation $y=3x^2-16x+2$?
1. 3 , 2
2. .2 , 5
3. -.12 , -5.2
4. .128 , 5.205
5.
Determine the roots of the equation $y=-x^2-8x+2$.
1. -8.24 , 0.24
2. -6.02 , 2.04
3. 8.42 , -2.04
4. 6.02, -2.04
6.
Determine the roots of the equation $y=6x^2+10x-24$.
1. $-3$ , $-4$
2. $-3$ , $4/3$
3. $3$ , $3/4$
4. $3/4$ , $4/3$
7.
What are the roots of the equation $y=-x^2+120$?
1. $+-sqrt(120)$
2. $sqrt60$
3. $sqrt(120)$
4. $+-sqrt60$
8.
What are the roots of the equation $y=-4x^2+x-120$ ?
1. 30 , -30
2. 1 , -1
3. 120 , -120
4. No Real Roots
9.
Determine the roots of the equation $y=-x^2+24x-143$.
1. 2 , -143
2. 11 , 13
3. -11 , 13
4. No Real Roots
10.
A cyclist rides over a hill that can be described by the equation $y=-x^2+2x+24$, where $y$ is the height in meters and $x$ is the vertical distance in meters. How far is the start position from the end position in a straight line?
1. 10 m
2. 24 m
3. 2 m
4. 5 m
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