We know that the graph of the quadratic function f(x) = (x -m)(x - n) is a parabola. Sketch a rough graph of what such a parabola would look like. What are the x-intercepts of the graph of f ? Can you tell from your graph the x-coordinate of the vertex in terms of m and n? (Use the symmetry of the parabola.) Confirm your answer by expanding and using the formulas of this section.
We know that the graph of the quadratic function f(x) = (x -m)(x - n) is a parabola. Sketch a rough graph of what such a parabola would look like. What are the x-intercepts of the graph of f ? Can you tell from your graph the x-coordinate of the vertex in terms of m and n? (Use the symmetry of the parabola.) Confirm your answer by expanding and using the formulas of this section.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 50PFA
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We know that the graph of the quadratic function f(x) = (x -m)(x - n) is a parabola. Sketch a rough graph of what such a parabola would look like. What are the x-intercepts of the graph of f ? Can you tell from your graph the x-coordinate of the vertex in terms of m and n? (Use the symmetry of the parabola.) Confirm your answer by expanding and using the formulas of this section.
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