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The Parabola and its Equation
Enter the equation into the ( screen of the calculator. ((A((((B(((C (Explore changing the A, B and C and observe what happens to the graph. This equation is of the form. This is called the standard form or in some texts the general form of the quadratic equation. Where are …
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[DOC File]Graphing Calculator Activity
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Silver level – you are given two equations in standard form and asked to choose the solution. Options are many solutions, no solutions, ordered pair #1, or ordered pair #2. Gold level – you are given two equations in standard form and asked to choose the solution. Options are many solutions, no solutions, or you fill in the ordered pair answer.
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[DOC File]Ellipse Worksheet
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C(–2,1), Endpts Sketch the graph of each of the ellipses in question 1 and check your graph on a graphing calculator. (Write the equation you need to put in your calculator) Write the equation of each of the ellipses below. Write the equation of an ellipse with a …
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QUADRATIC EQUATIONS IN VERTEX FORM
Any quadratic equation can be expressed in the form y = a(x-h)²+k. This is . called the vertex form of a quadratic equation. The graph of a quadratic equation forms a . parabola. The width, direction, and vertex of the parabola can all be found from this . equation. The value of a. The value of . a . tells us if the parabola opens upward or ...
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[DOC File]Finding the Vertex of a Quadratic Function
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17. Make a conjecture about the relationship between the vertex of a quadratic function and the values of a, b and c in the standard form of a quadratic equation. 18. Write a step by step algebraic process (algorithm) that someone could use to find the vertex of a quadratic function that is in standard form. 19.
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[DOC File]Activity overview:
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22. The equation of the axis of symmetry is x = _____. Sketch the graph of each function. Then check your graphs with your calculator. (Turn off Transformation Graphing first.) 23. 24. 25. Problem 2 – Standard form The standard form of a parabola is y = ax2 + bx + c. Let’s see how the standard form relates to the vertex form. 1.
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[DOC File]Introduction to Graphing Quadratic Equations
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Standard form of a quadratic equation: Yesterday when we graphed quadratic equations we used the same x values in our tables because the equations we graphed did not have any “b” values. If you were to graph y = x2 + 6x + 8 and used the same x values as we did yesterday, what kind of shape would the graph make? y = x2 + 6x + 8
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[DOC File]Topic: Geometric definitions
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Write the equation of this quadratic equation in vertex form. ... Consider the quadratic function written in standard form. ... Using your calculator, graph the function on the axes provided. Using the quadratic formula, find, to the nearest tenth of an hour, the time when the flow stops (is zero). ...
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[DOC File]Summary of Lesson Lab: CIRCLES
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Objectives: 1) Write the equation of a circle in standard form. 2) Graph the equation of a circle using paper/pencil and a graphing . calculator. 3) Calculate area of a circle and volume of a cylinder. 4) Apply equation and area of a circle and volume of a cylinder in . problem solving situations.
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[DOC File]Algebra I Chapter 5 Section 3
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Based on graphs above, write equation of each line in SLOPE-INTERCEPT FORM: 1) 2) 3) How do we find the equation of a line without graphing? CASE #1: FIND THE Y-INTERCEPT of a line when you have the slope and any point. What is the equation for slope-intercept form? Example #1: Line that passes through (1, 5) and has a slope of 2.
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Graph standard form equation calculator