table quadratic shift 9 videos
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Finding Intercepts, Domain, Range and Vertex of a Parabola
Precalculus Equations of Lines, Parabolas and Circles
How to find the vertex, intercepts, domain and range of a quadratic graph.
intercepts domain range parabola quadratic -
More Transformations of Sine and Cosine
Precalculus Trigonometric Functions
How the value of h affects the shape of the graph y = A sin(B(x-h)).
transformations sine period amplitude phase shift horizontal shift -
Graphing the Transformation y = f(x - h)
Precalculus Introduction to Functions
How to graph y = f(x ? h) when f(x) = sqrt(x), and what kind of transformation to expect.
functions transformations horizontal shift end point -
Finding Maximum and Minimum Values
Precalculus Polynomial and Rational Functions
How we define optimization problems, and what it means to solve them.
optimization problems quadratic functions parabola vertex -
Graphing the Transformation y = a f(x) + k
Precalculus Introduction to Functions
How to graph the transformation y = a f(x) + k when f(x) = abs(x).
functions transformations stretch compression reflection vertical shift turning point -
The Transformation y = f(bx)
Precalculus Introduction to Functions
How determine what transformation the graph y = f(bx) represents when b > 1.
the square root function horizontal shift horizontal compression compression factor endpoint -
Domain Restrictions and Functions Defined Piecewise
Precalculus Introduction to Functions
How a domain restriction affects the graph of a function.
functions domain domain restrictions quadratic functions linear functions vertex parabola -
Finding Zeros of a Polynomial Function
Precalculus Polynomial and Rational Functions
How we find the zeros of a polynomial function in expanded form.
polynomial functions zeros factored form expanded form the factor theorem the rational roots theorem potential zeros synthetic division the reduced polynomial the quadratic formula -
Using the Conjugate Zeros Theorem
Precalculus Polynomial and Rational Functions
How we find the zeros of a polynomial function when one imaginary zero is known.
polynomial functions quadratic functions zeros multiplicity the conjugate zeros theorem the conjugate roots theorem conjugates imaginary numbers imaginary zeros