1Consider the general quadratic function f(x) = ax² + bx+c, with a ‡0.a. Find the coordinates of the vertex in terms of a, b, and c.b. Find the conditions on a, b, and c that guarantee that the graph of f crosses the x-axis twice.a. The coordinates of the vertex are(Type an ordered pair.)CHEECHb. Find the conditions on a, b, and c that guarantee that the graph of f crosses the x-axis twice. Choose the correctanswer below.OA. c² +4ac>0OB. b²-4ac>0OC. c²-4ac>0OD. b² +4ac>0

Consider the general quadratic function f(x)=ax2+bx+c, with a≠0.

Answered: 2 Consider the general quadratic…

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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If a graph is a parabola ['horseshoe' shape] opening up with a vertex [starting point] at (-5, -7) that only crosses the y-axis once at (0,18) and crosses the x-axis at both (-7.65,0) and at (-2.35,0): find the quadratic function for this graph, using the form f (x) = a(x – h)² + k, with a = 1 here. %3D O f(z) = (1 – 5)² + 7 O f(z) = (x + 7.65)² – 2.35 O f(z) = (z – 5)² – 7 O f(z) = (1 + 5) +7 O f(z) = (z +5) -7
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2 Consider the general quadratic function f(x) = ax² + bx + c, with a #0. a. Find the coordinates of the vertex in terms of a, b, and c. b. Find the conditions on a, b, and c that guarantee that the graph of f crosses the x-axis twice.