# 7 1 study guide and intervention parabolas

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7-1 Study Guide and Intervention Parabolas Analyze and Graph Parabolas A parabola is the locus of all points in a plane equidistant from a point called the focus and a line called the directrix. The standard form of the equation of a parabola that opens vertically is (x — h)2 = 4pO' — k). Lesson 1-7 NAME DATE PERIOD Chapter 1 41 Glencoe Precalculus Word Problem Practice Inverse Relations and Functions 1. ELECTRICIAN The amount an electrician charges can be modeled by the function f (x) = 60 + 55 x, where x is the number of hours worked. 7-1 Chapter 7 97 Glencoe Precalculus What You’ll Learn Scan the examples for Lesson 7-1. Predict two things that you think you will learn about parabolas. 1. 2. New Vocabulary Match the term with its definition by drawing a line to connect the two. the intersection of a parabola and its axis of symmetry the fixed point from which the locus of ... 7-1 Study Guide and Intervention Parabolas Analyze and Graph Parabolas A parabola is the locus of all points in a plane equidistant from a point called the focus and a line called the directrix. The standard form of the equation of a parabola that opens vertically is (x — h)2 = 4pO' — k). When p is negative, the parabola opens downward. Study Guide and Intervention Parabolas 7-1 Analyze and Graph Parabolas A parabola is the locus of all points in a plane equidistant from a point called the focus and a line called the directrix. The standard form of the equation of a parabola that opens vertically is (x)-h 2 = 4p (y-k). When p is negative, the parabola opens downward. When p is positive, it opens upward. The standard Study Guide and Intervention Parabolas, Ellipses and Circles Determine Types of Conic Sections If you are given the equation for a conic section, you can determine what type of conic is represented using the characteristics of the equation. The standard form of an equation for a circle with center (h, k) and radius r is (x h)2 + (y — k)2 = 9-1 Study Guide and Intervention (continued) Graphing Quadratic Functions Example Axis of Symmetry For the parabola y = ax2 +bx c, where a ≠ 0, the line x = -−b 2a is the axis of symmetry. Example: The axis of symmetry of y 2 +2x 5 is the line 1. Consider the graph of y = 2x2 + 4x + 1. 1. y = 2x + 3 2. y = -x2 - 4x - 4 3. y = x2 + 2x + 3 x ... Mar 06, 2015 · 9-2 Study Guide and Intervention Parabolas Equations of Parabolas A parabola is a curve consisting of all points in the coordinate plane that are the same distance from a given point (the focus) and a given line (the directrix). The following chart summarizes important information about parabolas. Mar 06, 2015 · 9-2 Study Guide and Intervention Parabolas Equations of Parabolas A parabola is a curve consisting of all points in the coordinate plane that are the same distance from a given point (the focus) and a given line (the directrix). The following chart summarizes important information about parabolas. Understanding parabolas is an important part of understanding quadratics. This interactive quiz and printable worksheet will check your... 4-7 PDF Pass Chapter 4 44 Glencoe Algebra 2 Study Guide and Intervention (continued) Transformations of Quadratic Graphs Transformations of Quadratic Graphs Parabolas can be transformed by changing the values of the constants a, h, and k in the vertex form of a quadratic equation: y = a(x – h ) 2 + k. 9-1 Study Guide and Intervention (continued) Graphing Quadratic Functions Example Axis of Symmetry For the parabola y = ax2 +bx c, where a ≠ 0, the line x = -−b 2a is the axis of symmetry. Example: The axis of symmetry of y 2 +2x 5 is the line 1. Consider the graph of y = 2x2 + 4x + 1. 1. y = 2x + 3 2. y = -x2 - 4x - 4 3. y = x2 + 2x + 3 x ... Feb 02, 2015 · before beginning Lesson 7-1. Remind them to add definitions and examples as they complete each lesson. Study Guide There is one Study Guide master for each lesson. When to Use Use these masters as reteaching activities for students who need additional reinforcement. These pages can also be used in conjunction with the Student Edition 9-1 function. Study Guide and Intervention (continued) Graphing Quadratic Functions Axis of Symmetry Example For the parabola y = ax 2 + bx +-c, where a ≠ 0, the line x =-b! 2 a is the axis of symmetry. Example: The axis of symmetry of y = x 2 + x + 5 is the line x = 3-1. Consider the graph of y = 4 2 x 2 + 4 x +. 1. x 3 2. y = x 2-x-4 3. y ... Lesson 1-7 NAME DATE PERIOD Chapter 1 41 Glencoe Precalculus Word Problem Practice Inverse Relations and Functions 1. ELECTRICIAN The amount an electrician charges can be modeled by the function f (x) = 60 + 55 x, where x is the number of hours worked. 9-1 function. Study Guide and Intervention (continued) Graphing Quadratic Functions Axis of Symmetry Example For the parabola y = ax 2 + bx +-c, where a ≠ 0, the line x =-b! 2 a is the axis of symmetry. Example: The axis of symmetry of y = x 2 + x + 5 is the line x = 3-1. Consider the graph of y = 4 2 x 2 + 4 x +. 1. x 3 2. y = x 2-x-4 3. y ... Glencoe Algebra 1 Study Guide and Intervention Multiplying Monomials Monomials A monomial is a number, a variable, or the product of a numbe r and one or Study Guide and Intervention Parabolas 7-1 Analyze and Graph Parabolas A parabola is the locus of all points in a plane equidistant from a point called the focus and a line called the directrix. The standard form of the equation of a parabola that opens vertically is (x)-h 2 = 4p (y-k). 7-1 Chapter 7 97 Glencoe Precalculus What You’ll Learn Scan the examples for Lesson 7-1. Predict two things that you think you will learn about parabolas. 1. 2. New Vocabulary Match the term with its definition by drawing a line to connect the two. the intersection of a parabola and its axis of symmetry the fixed point from which the locus of ... Mar 06, 2015 · 9-2 Study Guide and Intervention Parabolas Equations of Parabolas A parabola is a curve consisting of all points in the coordinate plane that are the same distance from a given point (the focus) and a given line (the directrix). The following chart summarizes important information about parabolas. 9-1 Study Guide and Intervention Polar Coordinates Graph Polar Coordinates A polar coordinate system uses distances and angles to record the position of a point. The location of a point P can be identified by polar coordinates of the form (r, θ), where r is the directed distance from Start studying Precalculus 7-1 Parabolas. Learn vocabulary, terms, and more with flashcards, games, and other study tools. 7-1 Practice. Parabolas. Identify the vertex, focus, axis of symmetry, and directrix for each equation. Then graph the parabola. 1. ( − 1)2= 8 (y – 2) 2. 2+ 6y + 9 = 12 – 12x. Write an equation for and graph a parabola with the given characteristics. 3. Lesson 1-7 NAME DATE PERIOD Chapter 1 41 Glencoe Precalculus Word Problem Practice Inverse Relations and Functions 1. ELECTRICIAN The amount an electrician charges can be modeled by the function f (x) = 60 + 55 x, where x is the number of hours worked. 7-1 Study Guide and Intervention Parabolas Analyze and Graph Parabolas A parabola is the locus of all points in a plane equidistant from a point called the focus and a line called the directrix. The standard form of the equation of a parabola that opens vertically is (x — h)2 = 4pO' — k). When p is negative, the parabola opens downward. 7-1 Study Guide and Intervention Graphing Exponential Functions Exponential Growth An exponential growth function has the form y = bx, where b > 1. The graphs of exponential equations can be transformed by changing the value of the constants a, h, and k in the exponential equation: f (x) = abx – h + k. 4-7 Study Guide and Intervention (continued) Transformations of Quadratic Graphs Transformations of Quadratic Graphs Parabolas can be transformed by changing the values of the constants a, h and k in the vertex form of a quadratic equation: y = (𝑥 – ℎ)2 + k. Chapter 7 5 Glencoe Geometry Study Guide and Intervention Ratios and Proportions Write and Use Ratios A ratio is a comparison of two quantities by divisions. The ratio a to b, where b is not zero, can be written as −a or b a:b. In 2007 the Boston RedSox baseball team won 96 games out of 162 games played. 7-1 Chapter 7 97 Glencoe Precalculus What You’ll Learn Scan the examples for Lesson 7-1. Predict two things that you think you will learn about parabolas. 1. 2. New Vocabulary Match the term with its definition by drawing a line to connect the two. the intersection of a parabola and its axis of symmetry the fixed point from which the locus of ... Study Guide and Intervention (continued) Special Right Triangles Properties of 30°-60°-90° Triangles The sides of a 30°-60°-90° right triangle also have a special relationship..2In a 30°-60°-90° right triangle the hypotenuse is twice the shorter leg. Show that the longer leg is 30√3 times the shorter leg.