# 13-17 Given the parent function and a description of the transformation, write theequation of the transformed function, f(x).13. Absolute value-vertical shift up 5, horizontal shift right 3.14. Radical-vertical compression by15. Cubic-reflected over the x axis and vertical shift down 216. Reciprocal-vertical stretch by 817. Quadratic-vertical compression by .45, horizontal shift left 8.18. Which graph best represents the function f(x) = 2x² - 2?ha.

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Answered: #13 - 17 Given the parent function and…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.2: Transformations Of Quadratic Functions

Problem 51PFA

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a To obtain the graph of g(x)=2x1, we start with the graph of f(x)=2x and shift it ________ upward/downward 1 unit. b To obtain the graph of h(x)=2x1, we start with the graph of f(x)=2x and shift it to the ___________ left/right 1 unit.
(a) To obtain the graph of g(x)=2x1 , we start with the graph of f(x)=2x and shift it _____________ (upward/ downward) 1 unit. (b) To obtain the graph of h(x)=2x1 , we start with the graph of f(x)=2xand shift it to the (left/right) 1unit.
1. The amount M (in trillions of dollars) of mortgage debt outstanding in the United States from 1990through 2009 can be approximated by the function M = f(t) = 0.0037(t + 14.979)", where t= 0 represents the year 1990.(a) Describe the transformation of the common function f(x) =x? Then sketch the graph overthe interval 0 < t < 19.(b) Rewrite the function so that t = 0 represents the year 2000. Explain how you got your answer.(c) Use the model from part (b) to predict the mortgage debt in the year 2014
The graph of the parent function p( x) = x 2 passes through the point R(13, 169). The graph of p is transformed such that the new graph represents the function f( x) = ( x + 6) 2 − 10. If this transformation translates point R to a new location R', what is the x-coordinate of R'?
PLEASE ANSWER 1) The function f(x) = x2 is transformed to f(x) = 1/2(x − 2)2. Which statement describes the effect(s) of the transformation on the graph of the original function? A) The parabola is narrower and shifted 2 units to the right. B) The parabola is narrower and shifted 2 units to the left. C) The parabola is wider and shifted 2 units to the right. D) The parabola is wider and shifted 2 units to the left. 2) The function f(x) = x2 is transformed to f(x) = 0.4(x + 1)2. Which statement describes the effect(s) of the transformation on the graph of the original function? A) The parabola is wider and shifted 1 unit to the left. B) The parabola is wider and shifted 1 unit to the right. EliminateC) The parabola is narrower and shifted 1 unit to the left. D) The parabola is narrower and shifted 1 unit to the right. 3) Quadratic functions "q" and "w" are graphed on the same coordinate grid. the vertex of the graph of "q" is 11 units below the vertex of the graph of "w". Which pair of…
Begin by graphing f(x)=3x then use transformations of this graph to graph the given finction. a) Determine the transformations that are needed to go from f(x)=3× to the given function. Select all that apply. a. Shrink vertically b. Shrink horizontally c. Stretch vertically d. Shift f(x) 2 units to the right e. Shift f(x) 2 units upward f. Reflect about the x-axis g. Shift f(x) 2 units downward h. Stretch horizontally i. Shift f(x) 2 units to the left j. Reflect about the y-axis b) Find the equation of the asymptote for h(x)= 3x+2 +2 using the graph. c) Observe the graph and find the domain and the range of h(x)= 3x+2 +2
Given h(x) = −2(x − 4)3 − 8,(a) Identify the “parent” function, f(x).(b) What transformations are needed to transform the graph of f(x) intothe graph of h(x)? (Your transformations must be numbered and givenin the correct order. Thank you!
Using the parent function f(x)=|x| which of the following describes the transformation of y=2|x-3|-5? A.Left 3 units,vertical compression by 2, up 5 units B.Left 3 units ,vertical stretch by 2 , down 5 units C. Right 3 units ,vertical stretch by 2 down 5 units D.Right 3 units ,vertical compression by 2, down 5 units
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The amount M (in trillions of dollars) of mortgage debt outstanding in the United States from 1990 through 2009 can be approximated by the function M = f(t) = 0.0037(t + 14.979)2, where t = 0 represents the year 1990. Describe the transformation of the common function f(x) = x2. Then sketch the graph over the interval 0 t 19. Rewrite the function so that t = 0 represents the year 2000. Explain how you got your answer. Use the model from part (b) to predict the mortgage debt in the year 2014.
Which of the following can be used to explain the transformations in the equation of f using y=|x| and translated into a graph?f(x)=|-(x-8)|Circle all that apply.a) Reflect the graph of y=|x| across the x-axis.b) Vertically stretch the graph of y=|x| by a factor of 8.c) Vertically shrink the graph of y=|x| by a factor of 8.d) Reflect the graph of y=|x| across the y-axis.e) Shift the graph of y=|x| down by 8 units.f) Shift the graph of y=|x| left by 8 units.g) Shift the graph of y=|x| right by 8 units.

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