115Consider the function g(x)Graph g(x)4What is the vertex of g ?What is the equation of the line of symmetry of g?7-4-g has aSelect an answer O ofThe x -intercept(s) of g is/are-10 -9 -8 -7 -6 -5 -4 -3 -2 -1,5 6 7 8 9 10-2-3-4-9-The y -intercept of g is-8tor-Clear All Draw:For this question give all rational answers as fractions or integers and all irrational answers rounded to 2decimal places.Question Help: DVideo M Message instructor

Answered: 1 15 Consider the function g(x) Graph…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.2: Polynomial Functinos And Their Graphs

Problem 83E

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(a) What is the degree of a quadratic function f?What is the standard form of a quadratic function? How do you put a quadratic function into standard form? (b) The quadratic function f(x)=a(xh)2+k is in standard form. The graph of f is a parabola. What is the vertex of the graph of f? How do you determine whether f(h) = k is a minimum or a maximum value? (c) Express f(x)=x2+4x+1 in standard form. Find the vertex of the graph and the maximum or minimum value of f.
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The graph of f(x)=x^{2}f(x)=x2 was transformed to create the graph of g(x)=f(x)-9g(x)=f(x)−9. Which statement about the graphs is true? A The graph of ggg is a reflection of the graph of fff across the xxx-axis. B The vertex of the graph of ggg is 999 units to the right of the vertex of the graph of fff. C The graph of ggg is a reflection of the graph of fff across the yyy-axis. D The yyy-intercept of the graph of ggg is 999 units below the yyy-intercept of the graph of fff.
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How to Graph a Quadratic Function by HandUsing Its PropertiesGraph f1x2 = - 3x2 + 6x + 1 using its properties. Determine the domain and therange of f. Determine where f is increasing and where it is decreasing. EXAMPLE 3 Step-by-Step SolutionStep 1: Determine whether thegraph of f opens up or down.Step 2: Determine the vertex andaxis of symmetry of the graph of f.Step 3: Determine the intercepts ofthe graph of f. In Example 2, it was determined that the graph of f1x2 = - 3x2 + 6x + 1 opensdown because a = - 3 6 0.In Example 2, the vertex was found to be at the point whose coordinates are (1, 4).The axis of symmetry is the line x = 1.The y-intercept is found by letting x = 0. The y-intercept is f102 = 1. Thex-intercepts are found by solving the equation f1x2 = 0. f1x2 = 0- 3x2 + 6x + 1 = 0 a = −3, b = 6, c = 1 The discriminant b2 - 4ac = 162 2 - 41 - 32 112 = 36 + 12 = 48 7 0, so theequation has two real solutions and the graph has two x-intercepts. Use thequadratic formula to find…

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1 15 Consider the function g(x) Graph g(x) %3D 4. 2 4 10+ What is the vertex of g ? 9- What is the equation of the line of symmetry of g ? -4 g has a Select an answer O of The x -intercept(s) of g is/are 10 -9 -8 -7 -6 -5 -4 -3 -2 8 9 10