What is the formula you can use to find the axis of symmetry from a standard form quadratic equation?
x = -b/2a
100
Solve using a calculator.
3x + y - 2z = -3
x - 3y - z = -2
2x + 2y + 3z = 11
(1, 0, 3)
200
y = -1.25 (x + 5)^2 - 3
(-5, -3). x = -5
200
y = -2x^2 + 8x + 3
y = -2 (x-2)^2 + 11
200
y = (x-2)^2
Right 2 units.
200
What is the vertex form formula? What is the standard form formula?
y = a(x - h)^2 + k. y = ax^2 + bx + c.
200
If y = (x-4)^2 + 2 was reflected over the x axis, what would the new equation be?
y = -(x-4)^2 + 2
300
y = 4x^2 - 9
(0, -9). x = 0
300
y = 9/4(x^2) + 3x - 1
y = 9/4(x + 2/3)^2 - 2
300
y = (x+3)^2 - 4
Left 3 units and down 4 units
300
The vertex of a quadratic graph is (2, 5) and it passes through (4, 9). What is the function for this graph in vertex form?
y = (x-2)^2 + 5
300
What are the transformations of y = 5 [x-4] + 2?
[] = absolute value symbols.
Stretch by a factor of 5. Right 4 units and up 2 units.
400
y = x^2 + 2x + 1
x = -1. (-1, 0)
400
y = 4x^2 + 7x
y = 4(x + 7/8)^2 - 49/16
400
y = -(x - 7)^2 + 10
Open down. Right 7 units and up 10 units.
400
What is (x-6)(x-6) = 7 - y in vertex form?
y = (x-6)^2 + 7
400
Solve the right circular cylinder formula for h. S = 2πrh + 2πr^2
h = S/2πr - r
500
y = -2x^2 - 3x+ 4
x = -3/4. (-3/4, 5 1/8)
500
y = 2x^2 - 5x + 12
y = 2(x - 5/4)^2 + 71/8
500
y = -2x^2 + 35
Open down. Compress by a factor of 2. Up 35 units.
500
The function C = 0.000015x^2 - 0.03x + 35 represents the cost for producing x number of computer chips. How many computer chips minimizes the cost? (Hint: it's not zero.)
1000 computer chips costs only $20.
500
An athletic club has 225 feet of fencing to enclose the PERIMETER of the tennis court. What quadratic function can be used to find the maximum AREA of the tennis court? What is the maximum area?