Common Core Standard HSF-IF.C.8 Questions

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

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Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.7c, HSF-IF.C.7d, HSF-IF.C.8, HSF-IF.C.8a

A fish jumps in the water near the dock. If its jump can be described in feet by the equation [math]y=-x^2+11x-30[/math], how far did the fish jump (the distance from exiting to re-entering the water)?

5 ft
6 ft
1.5 ft
1 ft

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.7c, HSF-IF.C.7d, HSF-IF.C.8, HSF-IF.C.8a

What are the roots of the equation [math]y=-4x^2+x-120[/math] ?

30 , -30
1 , -1
120 , -120
No Real Roots

Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b, HSF-IF.C.7c, HSF-IF.C.7d, HSF-IF.C.8, HSF-IF.C.8a

A belted kingfisher sits on a branch watching for fish in the water. When it sights a fish it dives from the branch and its flight path is described as [math]y=x^2-4.25x+4.125[/math] where y is the height and x is the time in seconds. At what times does the bird enter and exit the water?

1.5 s and 2.75 s
-2.5 s and 1.75 s
-1.5 s and -2.75 s
0 s and 4.125 s

Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b, HSF-IF.C.7c, HSF-IF.C.7d, HSF-IF.C.8, HSF-IF.C.8a

What are the roots of the equation [math]y=-x^2+120[/math]?

[math]+-sqrt(120)[/math]
[math]sqrt60[/math]
[math]sqrt(120)[/math]
[math]+-sqrt60[/math]

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.7c, HSF-IF.C.7d, HSF-IF.C.8, HSF-IF.C.8a

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?

40 m
17 m
52 m
36 m

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Common Core Standard HSF-IF.C.8 Questions

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