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Conic sections

graphing quadratic equations

Subject: 
Algebra
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Mathematics
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Parabolas
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Quadratic function
Quadratic equation
Parent function
Graph

Name: Date: Section 4-2 Notes Graphing Quadratic Functions in ird For Standard form of a quadratic function is E ax - A The parent function of the family of all quadratic functions is f(x) The graph of a quadratic function is a DaYWO01 IA. The vertex of a parabola is the or point on the parabola. .-.J 00 The axis of jcnY1LeA-rJ7 divides the parabola into mirror images and passes through the Graph the function y = CoWare to Graph the function y = (_--x)2. Compare it to -1 '/q 00 Thej X~'M The graph of a parabola is more vertically stretched than the parent function if 1 1k 1 > I The graph of a parabola is more vertically compressed than the parent function if The graph of a parabola is more horizontally stretched than the parent function if" I

Calculus 1 Exam 3 4of4

Subject: 
Calculus
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E

18) Find the center, foci, and vertices of the ellipse, and determine the length of the major and minor axes. Then sketch the graph. a) b) Center: Foci: Vertices: 19) Find the solutions of the system of equation. 20) The population of a certain city was 112,000 in 2006, and the observed doubling time for the population in 18 years. a) Find an exponential model for the population t years after 2006. b) Find an exponential model for the population t years after 2006. 21) Find the for the given system of equations.
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Calculus 1 Exam 3 3of4

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Calculus
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14) Determine whether the equation represents an ellipse, a parabola, a hyperbola, or a degenerate conic. 15) Find the focus, directrix, and focal diameter of the parabola, and sketch its graph. a) b) Vertex: Focus: Directrix:

Parabolas

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Algebra
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Parabolas Graphs a parabola, showing coefficients for the equation in both standard form, y=a(x-h)2+k, and general form, y=ax2+bx+c. How to use || Examples || Other Notes -------------------------------------------------------------------------------- -------------------------------------------------------------------------------- How to use To change the values of the coefficients, use the "+" and "-" buttons under each value. The buttons change the value by 0.1 at each step. Holding a button down causes this action to be repeated. Click the "Clear" button to reset all values to the default values, a=1 and all other values are 0. -------------------------------------------------------------------------------- Examples Horizontal shifts: in standard form,

Unit circle

Subject: 
Trigonometry
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In mathematics, a unit circle is a circle with a radius of one. Frequently, especially in trigonometry, "the" unit circle is the circle of radius one centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.

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Unit circle

Subject: 
Trigonometry
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n mathematics, a unit circle is a circle with a radius of one. Frequently, especially in trigonometry, "the" unit circle is the circle of radius one centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.

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