What's My Trig Function?
Uses opposite side/adjacent side.
Tangent
Name any two strategies for solving quadratic equations.
Graphing, factoring, taking square roots, completing the square, quadratic formula
GCF stands for…
Greatest Common Factor
Name a function that has a vertex.
Quadratic OR Absolute Value
What is the radius?
82=(x-1)2+(y+3)2
Radius is 8
Does not use the opposite side.
Cosine
What strategy for solving quadratics starts with standard form and identifying a, b and c values?
Quadratic Formula
Factor x2+3x+2
(x+1)(x+2)
Name 3 function types that do not have an axis of symmetry.
Linear, square root, cubic, cube root, or exponential
What is the radius?
36=(x-3)2+(y-9)2
Radius is 6
I have an angle and its adjacent side. Solving for the hypotenuse.
Use cosine
How many real solutions are possible when solving quadratic equations?
0, 1 or 2 solutions are possible.
What is the first step in factoring 3x2+6x+18?
Factor out the GCF 3 from each term.
Name two function types that have all real numbers for both the domain and range.
Linear, cubic, or cube root.
What is the center?
25=(x-4)2+(y+4)2
Center is
(4, - 4)
I have an angle and the hypotenuse. Solving for the opposite side.
Use sine
What does it mean to have imaginary solution when solving a quadratics?
On a graph there are no x-intercepts (the parabola does not intersect the x-axis).
Algebraically, there no real solutions resulting from a negative radicand value.
Name a factoring strategy to use when the leading coefficient is not equal to 1.
AC Method OR Grouping OR Guess and Check
Describe one way step and piecewise functions are alike and one way they are different?
Both have intervals for the domain. Step functions only use constants or flat intervals.
What is the center?
81=x2+(y+7)2
Center is
(0, -7)
Describe the next step in solving for x.
Sin (x) = ⅗
Take sin-1 or arcsin of both sides.
When completing the square, what is the next step after moving all constants to one side of a quadratic equation?
Add (b/2)2 to both sides.
Are all quadratic expressions factorable? Explain your thinking.
All quadratics can be factored, but not all of them can be factored with rational numbers. Some factoring may require irrational or complex factors.
Describe the end behavior of the square root parent function.
As x approaches 0, f(x) approaches 0
As x approaches positive infinity, f(x) approaches positive infinity
What is the diameter?
100=(x+2)2+(x-3)2
Diameter is 20