18,19,20 step by step Graph the quadratic function.18. f(x)=-2(x + 6)° + 419. f(x) = x² - 6x + 820. f(x)= -2x² - 24x - 67Graph the rational functions.4x21. f(x)=x² - 25-4x22. f(x)=x-3X-2x² - 4x-623. f(x) =24. f(x)=x² – x - 20X-215of

fx=-2x+62+4 Compare the above function with fx=ax-h2+k. a=-2,h=-6 and k=4 from the above function it…

Answered: 18. f(x) = -2(x+6) +4

Math

Calculus

18. f(x) = -2(x+6) +4

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

Section3.1: Quadratic Functions And Models

Problem 1E: To put the quadratic function f(x)=ax2+bx+c in standard form, we complete the ________________.

See similar textbooks

Related questions

Q: 6. Eliminate the arbitrary constants from the relation y=ax² +bx +c.

Q: 4. If [æf (x) + 2] dæ = x³ – a² then find the function f (x). 3 A) 2 3 B) 2+ C) 3- 2 E) 2– D) 3+ --…

A: The given equation is x∫x fx+2dx=x3-x2.

Q: For 31

A: From the given diagram the points of the graph of y= f(x) are (–1,–2),(0,1) and (2,–1). Given…

Q: x2-8 If fx)= X-4 where is f not differentiable?

A: Given the function

Q: f:R - R S6 – x2 x 2 1 x < 1 fx 4x + 1 x=1, x= -1-

Q: What are the critical points for the function f(x) = x³ + 6x² – 36x + 7 X = - 2 and x = 6 x = 2 and…

Q: -3х - 4 х-1

A: Increasing interval : Interval in which graph goes upwards Decreasing interval: Interval in which…

Q: Determine whether f is continuous at a.

Q: 19. f(x) : х — 2 x² - 4 20. f(x) = х — 2 (2r 15 if v-

Q: 2 What is the value of f'(0) if f(x) = (x² – 2x – 1)3? %3D 4 3 Option 1 Option 2 4 2 3 3 Option 4…

Q: 7. Iff (1) = 5, which could be the equation for f (x)?

Q: 6. f(x) = x + ty -41 -4-2 0 2.

A: Solution: The objective is to graph the given linear function

Q: 6. f(x) S(x) =-- x-3

A: Given query is to find domain , vertical asymptot and the intercepts of the function.

Q: Graph the following functions.

A: the given function is: fx=2x+2, if x<0x+2, if 0≤x≤23-x2 if x>2 we…

Q: Find the relative extrema. x2 f(x) = 16- — х2

A: Given: f(x)=x216−x2 Function achieves relative maximum or relative minimum (relative extrema) at…

Q: e. As x+, y =-3 x+2x-3x* → f. As x-2, y=4+5x →.

Q: -1. f(-8) – 4 g(4) = 8- y = 9(x) -8 -6 -4 6. -6- y= f(x) 6.

Q: 6. 9. 6, If f(x) dx = 31 and g(x) dx = 18, find [4f(x) + 5g(x)] dx.

Q: 3s+7, Find L'f 's2+9*

Q: 17. If f(x - 1)+ 2/(1 — х) %3 3х, what is f(x)? А) -Зх + 1 В) х—3 С) -х +3 D) -3x – 1 |

Q: (8) If f(x) = x² – 3x, what is f(x +h) - f(x) =? h (x² + 2xh + h²)-3(x+h)-(x²-3x) = 2x – 3 + h (x² +…

Q: 20. f(x) = In x + 2e 3x2

A: Topic = Derivative

Q: 2) Find all relative extrema of ƒ(x)= x* – 4x³

A: Answer

Q: 522 — 20, х 2 ||

Q: 8. 8. If f(x) dx = 39 and g(x) dx = 14, find [4f(x) + 5g(x)] dx.

Q: 4 if x 2

Q: h(x) = x4-x3 + 7x² - 9x-18 14 f(x) = x$ – 20x3 + 20x2 - 21x + 20 2nobuloe to 1odmun erd yluns

Q: 3. Differentiate. x²e* f(x)%3= x² + ex

Q: 5-x 10' to receive from an insurance c f(x) = x = 1,2,3,4

A: The random variable x be the number of months with pdf is f(x)=5-x10, x=1,2,3,4

Q: 3 if x < -2 if – 2 < x < 3 -2x + 3 f (x) = 3 х — 2 z*ー2 if x 2 3

A: see 2nd step

Q: (-x² +3, 3. f(x)={ Vx-3+1, x>2 %23

Q: 7. Given f(x) = x² – 5x ,

Q: How do I find the possible inflection points of f(x)=a/((x^2)+(b^2))? It also states a and b are…

A: To find point of inflection we need to find x from f"(x)=0

Q: Suppose 2<f'(x) < 4, for -1 sxs1. Then f(1)- f(-1) is between A) 4 and 8, B) 8 and 16. C) 0 and 4.…

A: Given 2≤f'(x)≤4 for -1≤x≤1Then We know thatf(1)-f(-1)2=f'(1) (by definition of derivative)We know…

Q: Determine L'{F}. - 1 8s F(s) = ° - 10s -3s +6 %3D 3 s (s-2)

Q: f(x) = Vxe-x/2 is inc decreacing

Q: 16 - If f(x) = e2*Inx then f'(x) =? a) e2x (2lnx + 는) 0308 b) O e2x 2lnx c) O e2* (Inx- d) O e (inx+…

A: Given: fx=e2xlnx To determine: The value of f'x.

Q: f(x)=2/5- x +2 Ay 10– 8- 6- 4- 2- 8 10 12 14 -4 -2 -2- 2 4 -4- -6-

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: -8x Since f'(x) then (x2 - 4)2' (x? – 4)>(D) - (-8x)[2cx? – 4)(Ox)] _ 8 x2 f"(x) (x2 (y2

Q: 4, 0st< 2 2. f(t) : [0, t2 2

Q: Calculate R4 for f(x) = (x-1)^2 on interval [2.4]

A: the given function f(x)=x-12 on the interval 2,4

Q: 21 12 b. f(x) – f(x) = f(x) - where a= and b=

A: Suppose point c belongs to the interval [a, b], then ∫abfxdx=∫acfxdx+∫cbfxdx

Q: 47. f(x) = /4 – x², 0 s x< 2

A: 47Given that fx=4-x2 , 0≤x≤2Solution a if we find inverse of the function then we interchange x to…

Q: -8- -7 -6- 5- y = f (x) 3- -2 sy = g(x) LO 4-

Q: Determine {F}. F(s) = 7s² - 13s +2 s(S-1)(s-6)

A: Let 7s2-13s+2s(s-1)(s-6)=As+Bs-1+cs-6 ⇒7s2-13s+2=A(s2-7s+6)+B(s2-6s)+C(s2-s) ⇒A+B+C=7…

Q: 4) f(x) = ! g(x) – - - - 3

Q: How can we show that f(t)=e4t-3t^2 is not an mgf?

A: For any Random Variable, Var(X) > 0 Now We know, E(Xr) = f(r)(t) |t=0 Where f(r)(t) denotes r th…

Q: 2х—4 -? x² - 5x 8. What x-value(s) are excluded from the domain of f(x)= 2

A: Domain set of all input values where function defined

Q: Sınx SecX - Sen xcsc x ta n x-

A: Let the trigonometric identity given in the question be, sinxsecx-sinxcosecx=tanx-1. Some of the…

Question

18,19,20 step by step

Graph the quadratic function.
18. f(x)=-2(x + 6)° + 4
19. f(x) = x² - 6x + 8
20. f(x)= -2x² - 24x - 67
Graph the rational functions.
4x
21. f(x)=
x² - 25
-4x
22. f(x)=x-3
X-2
x² - 4x-6
23. f(x) =
24. f(x)=
x² – x - 20
X-2
15
of

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Consider the provided function,

VIEW

Step 2: Now, use the above information to draw the graph of the function,

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Perimeter$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

To put the quadratic function f(x)=ax2+bx+c in standard form, we complete the ________________.
What is the equation of a quadratic function y=f(x) with two irrational zeros, negative square root of h and square root of h where h is a rational number? A. y=x^2-h B. y=x^2-h^2 C. y=x^2-h^2-1 D. y=x^3-h^2
Differentiate the rational function y=3x2+1x−1.
how to find the x and y coordinates of the hole found in the rational function of y= x2+3x-18/x2-8x+15
5. A fast food restaurant has a cost of production C (x) = 14x + 171 and a revenue function R(x) = 5x. When does the company begin to turn a profit?
Find a quadratic equation for a function y=f(x) which crosses the x-axis at x=5 and x=6, and which crosses the y-axis at y=-60. What would f(x) equal?
Callaway Golf Company has determined that the marginal cost C of manufacturing x Big Bertha golf clubs may be expressed by the quadraticfunctionC(x) = 4.9x2 - 617.4x + 19,600(a) How many clubs should be manufactured to minimize the marginal cost?(b) At this level of production, what is the marginal cost?
suppose a baby food company has determined that its total revenue R for its food is given by R = -x^3 + 36x^2 + 540x where R is measured in dollars and X is the number of units (in thousands) produced. what production level will yield a maximum revenue? A production level of ____ thousand units will maximize revenue
Find a formula for the quadratic function whose graph has its vertex at (−3,2) and its y-intercept at y=0.
Suppose a baby food company has determined that its total revenue R for its food is given by R = -x^3 + 45x^2 +525x where R is measured in dollars and x is the number of units (in thousands) produced. What production level will yield a maximum revenue? A production level of_____thousand units will maximize revenue
Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.) t(x) = x2 − 2x − 15 x − 8 x-intercept (x, y) = (smaller x-value) x-intercept (x, y) = (larger x-value) y-intercept (x, y) =
Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.) r(x) = x2 − 4 x2 x-intercept (x, y) = (smaller x-value) x-intercept (x, y) = (larger x-value) y-intercept (x, y) =