Please fill out all, thank you! Find a Quadratic Function Given ItsVertex and One Other PointIf the vertex (h, k) and one additional point on thegraph of a quadratic function f (x) = ax² +bx +c, a ± 0,are known, then%3Df(x) = a(x-h)' +kcan 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).

Answered: Image /qna-images/answer/ea334175-9744-4ea1-95de-ca05b6cc621a.jpg

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).

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Please fill out all, thank you!

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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