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Find the quadratic function with the given vertex and point. (a) Vertex (0,0) passing through (-2,8). (b) Vertex (2,0) passing through (1,3). (c) Vertex (-3,0) passing through (-5, –4). (d) Vertex (0, 1) passing through (-1,0). (e) Vertex (2,5) passing through (3, 7). (f) Vertex (-3,4) passing through (0,0).

Find the quadratic function with the given vertex and point. (a) Vertex (0,0) passing through (-2,8). (b) Vertex (2,0) passing through (1,3). (c) Vertex (-3,0) passing through (-5, –4). (d) Vertex (0, 1) passing through (-1,0). (e) Vertex (2,5) passing through (3, 7). (f) Vertex (-3,4) passing through (0,0).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 7DE
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Find a Quadratic Function Given Its Vertex and One Other Point If the vertex (h, k) and one additional point on the graph of a quadratic function f (x) = ax² +bx +c, a ± 0, are known, then %3D f(x) = a(x-h)' +k can be used to obtain the quadratic function. 1. Plug h,k and x,y into Vertex Form. 2. Solve for a. 3. Plug a and h,k into Vertex Form. 4. Expand to write in Standard Form. 1. Find the quadratic function with the given vertex and point. (a) Vertex (0,0) passing through (-2, 8). (b) Vertex (2,0) passing through (1,3). (c) Vertex (–3,0) passing through (-5, –4). (d) Vertex (0, 1) passing through (-1,0). (e) Vertex (2,5) passing through (3, 7). (f) Vertex (-3, 4) passing through (0,0).
Transcribed Image Text:Find a Quadratic Function Given Its Vertex and One Other Point If the vertex (h, k) and one additional point on the graph of a quadratic function f (x) = ax² +bx +c, a ± 0, are known, then %3D f(x) = a(x-h)' +k can be used to obtain the quadratic function. 1. Plug h,k and x,y into Vertex Form. 2. Solve for a. 3. Plug a and h,k into Vertex Form. 4. Expand to write in Standard Form. 1. Find the quadratic function with the given vertex and point. (a) Vertex (0,0) passing through (-2, 8). (b) Vertex (2,0) passing through (1,3). (c) Vertex (–3,0) passing through (-5, –4). (d) Vertex (0, 1) passing through (-1,0). (e) Vertex (2,5) passing through (3, 7). (f) Vertex (-3, 4) passing through (0,0).
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