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Identify the quadratic function from the graph -2 -4 -3 -2 -1 2 4 a) f(x) = x² – 4x + 5 b) f(x) = x² – 2x + 3 c) f(x) = x² + 4x + 5 d) f(x) = x² + 2x + 3 Select one: O (d) (b) (c) (a)

Identify the quadratic function from the graph -2 -4 -3 -2 -1 2 4 a) f(x) = x² – 4x + 5 b) f(x) = x² – 2x + 3 c) f(x) = x² + 4x + 5 d) f(x) = x² + 2x + 3 Select one: O (d) (b) (c) (a)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Identify the quadratic function from the graph -2 -4 -3 -2 -1 2 4 a) f(x) = x² – 4x + 5 b) f(x) = x² – 2x + 3 c) f(x) = x² + 4x + 5 d) f(x) = x² + 2x + 3 Select one: O (d) (b) (c) (a)
Transcribed Image Text:Identify the quadratic function from the graph -2 -4 -3 -2 -1 2 4 a) f(x) = x² – 4x + 5 b) f(x) = x² – 2x + 3 c) f(x) = x² + 4x + 5 d) f(x) = x² + 2x + 3 Select one: O (d) (b) (c) (a)
Expert Solution
Step 1

Consider the quadratic equation given in part (a),

fx=x2-4x+5

from the graph, it can be observed that the y-intercept of the graph is 0,3.

so, check that the point 0,3 will satisfy the equation or not,

3=?02-40+53≠5

since the point does not satisfy the equation so, the given function does not represent the graph.

Consider the quadratic equation given in part (b),

fx=x2-2x+3

from the graph, it can be observed that the y-intercept of the graph is 0,3.

so, check that the point 0,3 will satisfy the equation or not,

3=?02-20+33=3

also, from the graph the vertex of the function is -1,2

so, check that the point -1,2 will satisfy the equation or not,

2=?-12-2-1+32=?1+2+32≠6

Since, the point does not satisfy the equation so, the given function does not represent the graph.

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