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|x| = {x, for x>0 or x=0}
{-x, for x<0}
for all real numbers x, the square root of x-squared is equal to |x| |
absolute value |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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| in the vertex form, if a<0, then the parabola opens ____ and the y coordinate of the vertex is the minimum y-value. If a>0, then the parabola opens ____ |
up, down |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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| the image of the parabola y=ax-squared under the translation Th,k is the parabola with the equation y-k=a(x-h)-squared. |
corollary |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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in a relation described by a sentence in x and y, the following two processes yield the same graph:
1. replacing x by x-h and y by y-h
2. applying the translation (slide) Th,k to the graph of the original relation |
Graph Translation Theorem |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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| What is the domain of a quadratic function? |
the set of real numbers. |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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| what is the y intercept of the quadratic formula? |
f(0)=c, c is the y-intercept when x=0. |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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the graph of the equation ______ is a parabola congruent to the graph of ______
the graph of every quadratic formula is a parabola |
y=ax-squared+bx+c, y=ax-squared |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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| vertex(es) |
(h,k) |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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| vertex form of a quadratic function |
y-k=a(x-h)squared |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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| 1. ax-squared+bx+c |
standard quadratic expression |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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| how do you complete the square on x-squared+bx? |
add (0.5b)-squared |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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| what number should be added to x-squared+10x to make a perfect square trinomial? |
25 |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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| quadratic formula |
x= (-b + or - the square root of b-squared - 4ac)/2 |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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the term which refers to a square root of a negative number.
i=square root of -1 |
imaginary number |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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| the ______ of a+bi is a-bi, and it allows us to divied complex numbers. |
complex conjugate |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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| The ______ determines the nature of the solutions to a quadratic function. The ______ is b-squared - 4ac |
discriminant |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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A ______ is a number of the form a+bi, where a and b are real numbers; a is called the real part and b is called the imaginary part
When a real number and an imaginary number are added, the sum is a ______ |
complex number |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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| If b-squared - 4ac < 0 |
There are two nonreal solutions |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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| If b-squared - 4ac = 0 |
there is one real solution |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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| If b-squared - 4ac > 0 |
there are two real solutions |
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chunsah Fri, 18 Jan 2008 04:41:41 GMT |
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