peter liljedahl · web viewqr3: solving quadratic equationsquadratic relations solutions/roots:...
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MPM2D Course Notes Pack Name: ___________________________________
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QR1: Basic Properties of Quadratics Quadratic Relations
Quadratic relation: Second differences: Axis of symmetry: Determine if a relation is linear, quadratic or neither:
Standard form: y-intercept: x-intercepts / zeros:
Parabola: Vertex: Maximum/minimum:
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QR2: Transformations of y=x2 Quadratic Relations
y=x2 Vertex form: Direction of Opening:
Translation: Reflection: Vertical stretch/compression:
Identify the transformations that a, h, and k from the vertex form apply to y=x2:
Identify the vertex & axis of symmetry from a graph of a parabola or its equation in vertex form:
Sketch by hand the graph of an equation in vertex form:
Determine the equation in vertex form from a given graph:
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QR3: Solving Quadratic Equations Quadratic Relations
Solutions/roots: Quadratic formula: Discriminant:
Solve from factored form: Solve from vertex form: Solve from standard form:
Expand & simplify (ax+b)(cx+d): Factor a x2+bx+c:
Complete the square fora x2+bx+c:
QR4: Solving Problems using the above skills Quadratic Relations
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AG1: Linear Systems Analytic Geometry
System of linear equations: Point of Intersection:
Solve a system graphically:
Solve a system by elimination: Solve a system by substitution:
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AG2: Line Segments Analytic Geometry
Midpoint: Equation of a circle: Negative reciprocal: Perpendicular bisector:
Determine the midpoint of a line segment:
Determine the length of a line segment given two end-points:
Determine the radius of a circle given its equation & sketch it:
Determine the equation of a circle given its radius & sketch it:
Determine the equation of the perpendicular bisector to a line segment:
Determine the shortest distance between a point and a line:
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AG3: Verifying Geometric Properties Analytic Geometry
Tr1: Similar Triangles Trigonometry
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Similar triangles: Proportion: Scale factor:
Verify properties of similar triangles: Determine missing sides in pairs of similar triangles:
Tr2: Right Triangle Trigonometry Trigonometry
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Primary trigonometric ratios: Inverse trigonometric ratios: Pythagorean Theorem
Theta: Opposite side: Adjacent side: Hypotenuse:
Solve for missing sides using sin, cos, & tan: Solve for missing angles using sin, cos, & tan:
Tr3: Acute Triangle Trigonometry Trigonometry
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Sine law: Cosine law:
Solve for missing sides using sine law: Solve for missing sides using cosine law:
Solve for missing angles using sine law: Solve for missing angles using cosine law: