objective: identify the vertex of a parabola using its equation; change from vertex form to standard...
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Vertex Form of a Parabola
Objective: identify the vertex of a parabola using its equation; change from vertex form to standard form and standard form to vertex form.How are transformation rules used to find the vertex of a parabola? Why do we need completing the square?Vertex Form of a ParabolaStandard Form of a Quadratic
General Form of a Quadratic
StretchUp/DownLeft/RightVertexThe highest or lowest point on a parabola
Parent: f(x) = x2Vertex: (o,o)
Child: f(x) = 2(x+3)2 - 1 Vertex: _______Stretched vertically by 2, left 3, down 1Vertex Form
(h, k) is the vertexa is from the standard equationEx 1) Identify the vertex
Ex 2) Identify the vertex
Ex 3) Write the vertex form of the equation with vertex: (3, 6) a = 2Ex 4) Write the vertex form of the equation with vertex: (-8, 2) a = 3Ex 5) Find a if the vertex is (2, 5) and the graph goes through the point (4, 3)Ex 6) Find a if the vertex is (-3, 1) and the graph goes through the point (-2, 8) Changing Vertex Form to Standard Form1. Box it Out (or FOIL)
2. Distribute
3. Combined like termsEx 1) Re-write the equation in standard form
Ex 2) Re-write the equation in standard form
Changing Standard Form to Vertex From1. Move the constant term over2. Complete the Square3. Add the same about to the left side4. Factor5. Move the constant term back overEx 1) Change to vertex form
Ex 2) Change to vertex form
Ex 3) Change to vertex form