PPT-Another method of writing an equation in vertex form is to

complete the square If you have an equation in the form h 225x 2 45x 675 where h is height how do you find the maximum height 1 st factor out 225. Solve each equation.. 1.. 27 = . x. 2. + 11 . 2.. . x. 2. = 48 . 3.. 84 = 120 – . x. 2. Ellipses - Warm Up. 1.. 27 = . x. 2. + 11. 16 = . x. 2. . x. = . ± 16 = ±4. Section 2.3 beginning on page 68. The Big Ideas. In this section we will learn about…. T. he focus and the . directrix. of a parabola. Writing equations for parabolas using the focus, the . directrix. Definition or Depiction. Linear Function: . f(x) = . mx+b. Makes a line. Constant change in y for each change in x . Quadratic Function: . Standard Form: f(x) = x. 2. +bx+c or . Vertex Form: f(x) = a(x-h). Factor: 3x. 2. + 10x + 8. Factor and Solve: 2x. 2. - 7x + 3 = 0. Math I. UNIT QUESTION: What is a quadratic function?. Standard: . MM2A3, MM2A4. Today’s Question:. How do you graph quadratic functions in vertex form?. Section 3.3 Beginning on page 112. The Big Idea. Completing the square . is a technique we can use to write a quadratic in vertex form.. Completing the square is creating a . Perfect Square Trinomial. Unit 5 . Conics... The parabola is the locus of all points in a plane that are . the same distance from a line in the plane, the . directrix. , . as from a fixed point in the plane, the . focus. .. Point Focus = Point Directrix. Objective: Students will be able to determine if the graph is flipped over the x axis and if it is stretched or shrunk compared to the parent function.. Parabolas. We already talked about the left/right shift and the up/down shift, depending on the equation and the graph. Recall…. A quadratic equation is an equation/function of the form f(x) = ax. 2. + . bx. + c. Vertex Form. To facilitate an easier way to graph, we can look at the . vertex form. of a quadratic. Vertex. Holt Algebra 2. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Algebra 2. Warm Up. 13. 2. . from (0, 2) to (12, 7). Find each distance.. 3. . from the line . y. = –6 to (12, 7). 13. 1. . Dr. Shildneck. Fall, 2014. The Ellipse. An ellipse is a locus of points such that the sum of the distances between two fixed points (called the foci) is always the same.. The axis that runs through the longer part of the ellipse is called the major axis. The points at the ends of the major axis are called the vertices.. Unit 4. Review:. Slope and Slope-Intercept. Slope and Slope-Intercept Form. Slope-Intercept Form. :. . . is . ______ . and . is the . __________ . of the line.. Graph is a . straight non-vertical line. December 5. , 2016. Quadratic functions are polynomial equations that have an __________ in the equation and ____________ is the highest exponent of x. . The standard form of a quadratic equation is :. Review . Vertex . Vertex . Vertex . Vertex . Center (. h,k. ). a. b. Focus . Focus . Plural Vertex – Vertices. Plural Focus – Foci. c. Major Axis = 2a. Minor Axis = 2b. x. x. - Major Axis is Horizontal . 2x. 2. – 4x(3x – 5). 3x(x – 2). (x – 2)(x + 5). (-4x + 3)(2x – 7). 3x(2x – 7) + 6x(4x + 5). x(1 – x) – (1 – . 2x. 2. ). (5x + 3). . 2. -7x(. 5x. 2. . – . 4x). (. 4x. . – . 5) (-2x.