Graphing Transformations Use the graph of y = x' in Fig-ure 4 to graph the following.(a) g(x) = x² + 1(c) g(x) = -x(b) g(x) = (x – 1)²(d) g(x) = (x – 1)² + 3

Given- gx=x2+1 To draw- The graph of the above function with the help of the graph of y=x2. Concept…

Answered: Graphing Transformations Use the graph…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section4.2: Writing Equations In Paint-slope Form

Problem 39E

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APPLICATIONS OF DERIVATIVES PROBLEM: An 80 cm piece of wire is cut into two pieces. One piece is bent into an equilateral triangle and the other will be bent into a rectangle with one side 4 times the length of the other side. Determine where, if anywhere, the wire should be cut to maximize the area enclosed by the two figures.
integration problem sketch a corresponding graph
(Differentiation) 6.1.1) Fine slope of graph f(x) = 25-3x-x^2 when x = 2 and x = 1/2
Finding Derivatives Implicitly and Explicitly: 16y^2 - x^2 = 16 Sketch the graph of the equation and label the parts given by the corresponding explicit functions.
If you will draw the graph of y=x^2 (x-1), how will the graph behave at the x-axis? A) The graph crosses both (0,0) and (1,0). B) The graph crosses (0,0) and is tangent to the x-axis at (1,0). C) The graph crosses (1,0) and is tangent to the x-axis at (0,0). D) The graph is tangent to the x-axis at both (0,0) and (1,0).
(a) Graph f(x) = 3-x+1 and g(x) = 3x-2 on the same Cartesian plane.(b) Shade the region bounded by the y-axis, f(x) = 3-x+1 , and g(x)= 3x-2 on the graph drawn in part (a).(c) Solve f(x) = g(x) and label the point of intersection on the graph drawn in part (a).
The unusual equilibrium in the text has an updating function that lies below the diagonal both to the left and to the right of the equilibrium. There are several other ways that an updating function can be tangent to the diagonal at an equilibrium. In each case, cobweb starting from points to the left and to the right of the equilibrium, and describe the stability. Graph an updating function that is tangent to the diagonal at an equilibrium but crosses from below to above. Show by cobwebbing that the equilibrium is unstable. What is the second derivative at the equilibrium?
continuous from attached image... ... to the graph of y2 - 3x + 2 = 0. (do not simplify or evaluate)
The graph of a function f is given. The x y-coordinate plane is given. A curve with 3 parts is graphed. The first part is linear, enters the window in the second quadrant, goes down and right, crosses the x-axis at approximately x = −0.33, crosses the y-axis at y = −0.25, and ends at the open point (1, −1). The second part is the point (1, 1). The third part is linear, begins at the open point (1, −1), goes up and right, crosses the x-axis at x = 2, and exits the window in the first quadrant. Determine whether f is continuous on its domain. continuous not continuous If it is not continuous on its domain, say why. lim x→1+ f(x) ≠ lim x→1− f(x), so lim x→1 f(x) does not exist. The function is not defined at x = 1. The graph is continuous on its domain. lim x→1 f(x) = −1 ≠ f(1)
14. a) The x and y-intercepts. b) The orizontal and vertical asymptotes. c) The first and second derivatives.
Sketching derivatives Reproduce the graph of ƒ and thensketch a graph of ƒ′ on the same axes
FGH has vertices F (-2,1) , G(-2,4) and H (0,2) . Graph FGH . Then reflect it across the X-axis and translate it 3 units down

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Graphing Transformations Use the graph of y = x' in Fig- ure 4 to graph the following. (a) g(x) = x² + 1 (c) g(x) = -x (b) g(x) = (x – 1)² (d) g(x) = (x – 1)² + 3