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18 Cards in this Set
- Front
- Back
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What is the name of a factor that is set to equal zero? |
"Zero-product factor" |
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What is the quadratic formula? |
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What is the formula for standard formation of an equation? |
ax^2 + bx + c = 0 |
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What are the three main ways of solving a quadratic equation? |
By factoring, product sum solving, and the quadratic formula. |
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What is midpoint formula? |
The formula used for finding the halfway point of two points. |
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What is distance formula? |
The formula used for finding the distance between two points. |
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What is the equation of a circle? |
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What is the formula for slope/average rate of change? |
(y2-y1)/(x2-x1) |
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What's the equation for a linear function? |
y = mx + b |
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What's the equation for a constant function? |
y = b |
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What's the equation of an identity function? |
y = x |
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What is the concave rule? |
In "ax^2 + bx + c," if a > 0, the graph is concave up. If a < 0, the graph is concave down. |
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What is the difference quotient formula? |
f(a+h)-f(a)/h |
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What are the two x value stipulations when graphing? |
When in the denominator, x cannot equal 0, and when underneath a radical, x cannot be a value that turns the radical into an imaginary number. |
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What is point-slope formula and how is it used? |
y-y1=m(x-x1) Used when given a point and the slope of a line to determine the equation of the line. |
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What does "robust" mean when graphing? |
It describes the values of the graph in the sense that a function is robust in relation to x if the y value is a constant. |
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What is the vertex rule? |
In "y=a(x-h)^2+k," the vertex of a function is (h, k) |
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How does one 'complete the square'? |
Basically, convert the equation "ax^2 + bx + c" to the form of "a(x - d)^2 + e" where d = b/2a and e = c - b^2/4a. |
