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How do you solve the following problem?
(A)^0
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Definition
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How do you solve the following problem?
((A)^B)*((A)^C)
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Definition
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How do you solve the following problem?
((AB)^C)*(-DB)*((EB)^F)^0)
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Definition
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How do you solve the following problem?
((1)/((A)^-B)
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Definition
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Term
How do you find the greatest common factor?
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Definition
1.)Find the largest number that goes into all the factors available to the smallest degree.
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Term
How do you factor the following problem?
((AB^2)-(C))
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Definition
(((Square Root of A)*B)+(Square Root of C)*B)
(((Square Root of A)*B)-(Square Root of C)*B)
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Term
How do you factor a trinomial?
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Definition
1.)Factor out the greatest common factor
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2.) Complete Reverse FOIL on the factored trinomial.
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3.)Set the Reverse Foiled factored trinomial to be multiplied by the greatest common factor.
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Term
How do you solve the following problem?
(A^2)=-B-CA
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Definition
1.)Make one side equal zero:
(A^2)+B+CA=0
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2.)Put the terms in descending order
(A^2)+B+CA=0
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3.)Factors of "B",which multiplied together equal "CA ":
Symbolize them as "D" and "E".
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4.)Write the Factored Expression:
(A+D)(A+E)=0
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5.)Your solution set is:
{-D,-E}
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Term
If the original function is:
f(x)=x
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How do you reflect it over the "x-axis"
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Definition
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Term
If the original function is:
f(x)=x
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How do you stretch it "A" Units
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Definition
f(x)=A(x)
Place the point, not the vertex, on A.
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Term
If the original function is:
f(x)=x
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How do you move it "A" Units to the Right
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Definition
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If the original function is:
f(x)=x
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How do you move it "A" Units to the Left
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Definition
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Term
If the original function is:
f(x)=x
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How do you move it "A" Units Up
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Definition
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If the original function is:
f(x)=x
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How do you move it "A" Units Down
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Definition
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Term
How do you rewrite the given function into standard form?
y=(x^2)+Ax
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Definition
1.)Square half the x-coefficient
(A/2)^2
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2.)Add the Squared Half Coefficient
y=((x^2)+Ax+((A/2)^2))
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3.)Reverse FOIL That Statement and subtract the Squared Half Coefficient
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Term
How do you find the axis of symmetry of a parabola?
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Definition
1.) "x" = "x value of the vertex"
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Term
How do you find the x-intercepts of this problem?
y=(x^2)+Ax
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Definition
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How do you find the x-intercepts of this problem?
y=(x^2)-Ax
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Definition
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How do you find the y-intercepts of this problem?
y=(x^2)+Ax
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Definition
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Term
In what direction would this parabola open?
((x^2)-A) Less than or Equal to Zero
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Definition
1.)The parabola opens up
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You view it as:
((x^2)+0x-A)
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The coefficient of "x^2" is "a"
The coefficient of "x" is "b"
-A is "c"
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If a>0 then the parabola opens up
If a<0 then the parabola opens down
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Term
What is the vertex of this parabola?
((x^2)-A) Less than or Equal to Zero
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Definition
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What are the x-intercepts of this parabola?
((x^2)-A) Less than or Equal to Zero
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Definition
The positive and negative square roots of A
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Term
What are the y-intercepts of this parabola?
((x^2)-A) Less than or Equal to Zero
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Definition
The y-intercept is -A
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Term
What is the solution to this problem in interval notation?
((x^2)-A) Less than or Equal to Zero
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Definition
[Negative Square Root of A, Positive Square Root of A]
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Term
How do you find out if a function has a maximum or minimum value?
f(x)=((x^2)-Ax+B)
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Definition
The coefficient of the first term is "a"
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If "a"<0 then it has maximum value
If "a">0 then it has a minimum value
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Term
How do you calculate the "x" value of this parabola's vertex?
f(x)=((x^2)-Ax+B)
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The coefficient of "x^2" is "a"
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Definition
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Term
How do you calculate the "y" value of this parabola's vertex?
f(x)=((x^2)-Ax+B)
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The coefficient of "x^2" is "a"
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Definition
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Term
What is the minimum value of this function?
f(x)=((x^2)-Ax+B)
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Definition
The y-value of the vertex
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Term
What is the range of this function?
f(x)=((x^2)-Ax+B)
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Definition
[Minimum Value, Infinity)
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