Math Problem Statement

User responses cleared Homework:11.2 HW - The Parabola Question 14, 11.2.37 Part 2 of 3 HW Score: 46.43%, 13 of 28 points Points: 0 of 1

Skip to Main content Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Question 10 Question 11 Question 12 Question 13 Question 14 Question 15 Question 16 Question 17 Question 18 Question 19 Question 20 Question 21 Question 22 Question 23 Question 24 Question 25 Question 26 Question 27 Question 28 Question content area top left Part 1 Find the equation of the parabola described. Find the two points that define the latus​ rectum, and graph the equation.

Focus at ​(negative 5​,5​); directrix the line yequals3 Question content area bottom left Part 1 The equation of the parabola is    left parenthesis x plus 5 right parenthesis squared equals 4 left parenthesis y minus 4 right parenthesis. ​(Simplify your answer. Type an equation. Use integers or fractions for any numbers in the​ equation.) Part 2 The two points that define the latus rectum are    enter your response here. ​(Type ordered pairs. Use a comma to separate answers as​ needed.) . . . The equation of the parabola is(Simplify your answer. Type an equation. Use integers or fractions for any numbers in the equation.)The two points that define the latus rectum are(Type ordered pairs. Use a comma to separate answers as needed.) Ask my instructor

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Math Problem Analysis

Mathematical Concepts

Parabolas
Conic Sections
Vertex Form of Parabola
Latus Rectum

Formulas

Equation of a parabola with vertex form (x - h)^2 = 4p(y - k) for vertical parabolas
Midpoint formula
Distance formula to calculate p (distance from vertex to focus)

Theorems

Properties of Parabolas
Focus-Directrix Property of Parabolas

Suitable Grade Level

Grades 10-12