Question about Super Tutor Trigonometry (ESDTRIG) for PC
Find the equation of the parabola with the vertex of (2,0) and focus of (2,2)
V (2,0) and Focus (2,2)
since the focus is 2 units above the vertex, the parabola opens upward
a is the focal length (distance between the vertex and the focus)
a = 2
(2 units above the vertex)
(x-h)^2 = 4a (y-k)
(x-2)^2 = 4(2) (y-0)
x^2 - 4x + 4 = 8 (y)
x^2 - 4x + 4 = 8y
x^2 - 4x - 8y + 4 = 0
**Answer: "(x-2)^2 = 8 (y)" or in expanded form "x^2 - 4x - 8y +4"
Posted on Jan 10, 2009
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A mathematical statement used to evaluate a value. An equation can use any combination of mathematical operations, including addition, subtraction, division, or multiplication. An equation can be already established due to the properties of numbers (2 + 2 = 4), or can be filled solely with variables which can be replaced with numerical values to get a resulting value. For example, the equation to calculate return on sales is: Net income ÷ Sales revenue = Return on Sales. When the values for net income and sales revenue are plugged into the equation, you are able to calculate the value of return on sales.
There are many types of mathematical equations.
1. Linear Equations y= mx + b (standard form of linear equation)
2. Quadratic Equations y= ax^2+bx+c
3. Exponential Equations y= ab^x
4. Cubic Equations y=ax^3+ bx^2+cx+d
5. Quartic Equations y= ax^4+ bx^3+ cx^2+ dx+ e
6. Equation of a circle (x-h)^2+(y-k)^2= r^2
7. Constant equation y= 9 (basically y has to equal a number for it to be a constant equation).
8. Proportional equations y=kx; y= k/x, etc.
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