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100
Convert to y = ax2 + bx + c form. y=2(x-1)^2+3
y=2x^2-4x+5
100
What is the vertex of the following parabola y = (x+2)² –3?
(-2,-3)
100
Write in Vertex form h(x)=3x2-6x-15
What is 3(x-1)2-18
100
What is the vertex of the graph x^2-8x=11
(4,-27)
200
How would you shift/shrink/stretch the graph of y=x^2 to y=-(x^2-5)?
shift the graph up five units
200
What is the vertex of a parabola with the following equation: y= 2(x-3)^2+4 ? Does the parabola open upwards or downwards?
The vertex is (3,4) and it opens upwards.
200
What does h,k stand for?
vertex
200
A rectangular box has a square base. Its height is half the width of the base. Find a function that models its volume V in terms of its width w.
V(w)=0.5w^3
300
Describe how the graph of the function can be obtained from the graph of f: y=f(4x)
shrink horizontally by a factor of 4
300
Find a function that models the area A of a circle in terms of its circumference C.
A(C)=C^2/(4π)
300
Find the domain (interval notation) of the function f(x)=(1/x)+1/(x+1)-√(x-3).
(3,∞)
300
A rectangular box with a volume of 60 cubic ft has a square base. Find a function that models its surface area S in terms of the length x of one side of its base.
S(x)=2x^2+240/x
400
A hockey team plays in an arena with a seating capacity of 10,500 spectators. With the ticket price set at $10, average attendance at recent games has been 9000. A market survey indicates that for each dollar the ticket price is lowered, the average attendance increase by 1000. What ticket price is so high that no one attends, and hence no revenue is generated?
$19
400
What is the formula for vertex form/standard form?
f(x)=a(x-h)^2+k
400
A rectangle is inscribed in an equilateral triangle with a perimeter of 30cm. Find the dimensions of the rectangle with the largest area.
5cm by 4.33cm
400
A hockey team plays in an arena with a seating capacity of 15,250 spectators. With the ticket price set at $16, average attendance at recent games has been 9500. A market survey indicates that for each dollar the ticket price is lowered the average attendance increases by 1000. Find the price that maximizes revenue from ticket sales.
$12.75
500
An isosceles triangle has a perimeter of 8cm. Express the area A of the triangle as a function of the length "b" of the base of the triangle. Simplify your equation.
A=b√(4-b)
500
A piece of wire 10m long is cut into two pieces. One piece, of length x, is bent into the shape of a square. The other piece is bent into the shape of an equilateral triangle. For what value of x is this total area a minimum?
4.35m
500
We cut a 100cm wire into two pieces, x cm from the left. The first piece is used to make a square. The second piece is used to make a circle. Find an expression for the total combined area in terms of x.
A(x)=(x/4)^2 + π((100-x)/2π)^2
500
Two ships leave port at the same time. One sails south at 15mi/h and the other sails east at 20mi/h. Find a function that models the distance D between the ships in terms of the t (in hours) elapsed since their departure.
D(t)=25t, t≥0