What happens to the graph of y = a(x + b)3 + c as a. a changes while b and c remain fixed? b. b changes (a and c fixed, a ≠ 0)? c. c changes (a and b fixed, a ≠ 0)?

Q: sketch the graph by hand. y = x1/3

A:

Q: To graph y = (x - 4) 2 , you shift the graph of y = x2 to the _________ a distance of _______units.

A: To graph y = (x - 4) 2 , you shift the graph of y = x2 to the _________ a distance of _______units.…

Q: Which of the following points are on the graph of y = x3 - 3x + 1?(a) ( - 2, - 1) (b) (2, 3) (c) (3,…

A: y=x3-3x+1 a). Put x=-2 in y=x3-3x+1, we get y=-23-3-2+1=-1 Therefore -2, -1 is on the graph of…

Q: 3. Which is the graph of y2-2x+1? a. C. 11 b. d. 1-

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Q: What happens to the shape of the graph of x2/a2 + y2/b2 = 1 as c/a ⇒ 0, where c2 = a2 - b2?

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Q: Sketch a graph of y 1 x + 2* +2

A: We need to plot the graph from given equation

Q: Match the equation with its graph. x2 y2 = 1 9. 9 16 6. 2 y 56 -3 41 2 -5 3. 3. -3

A: We want to identify the equation.

Q: y-Vx-4-3

A:

Q: If (a, 2) is a point on the graph of y = 5x + 6 , then what is the value of a? a =

A: Given y=5x+6 (a,2) is point on this equation To find a

Q: Which of the following is the graph of y = 45inx? %3D

A: The graph of given function y = 4 sin(π4x)

Q: What happens to the graph of y = ax2 + bx + c asa. a changes while b and c remain fixed?b. b changes…

A: Given: y=ax2+bx+c To Find: a. a changes while b and c remain fixed.b. b changes a and c fixed, a≠0c.…

Q: Which point is not on the graph represented by y =x² +3x (1) (-4,–2) (3) (2,4) (2) (-6,12) (4)…

A: Given function is

Q: Sketch the graph of y =x*-*-+ 3x 4

A: The graph of the function is as follows

Q: Make a table of values for the equation. y = x² - 5 X -2 -1 0 1 2 у Sketch a graph of the equation.

A: The given equation y=x2-5 we have to sketch graph of the equation Note:    Multiple questions are…

Q: sketch the graph of y= 1/(x-3)

A: we have to sketch the graph

Q: represent the graph of y = x + 1?

A: The given function is: y=x+1

Q: Find the y-intercept of the graph of the equation. 4х — 7у %3D 28 О (0, -4) (0, –7) O (0, 28) O (4,…

A: The equation of a line in slope-intercept form is y=mx+bwhere m is the slope and b,the y-intercept.

Q: What is the graph of y=(1/3) ^x?

A: As x approaches to infinity then limit of  y=(1/3)^x will be 0. So  optin A and option D are…

Q: Sketch the graph of (x – 3)² + (y + 4)² = 36. %3D

A: The given equation is x-32+y+42=36

Q: Use symmetry to sketch the graph of y = x2 − 4.

A: To graph y=x2-4

Q: True or False To graph y = (x - 2) 3  , shift the graph of y = x3 to the left 2 units.

A: The graph y=x-23 represent the shift of the graph of y=x3 to the right 2 units.

Q: Sketch the graph of y= 1

A:

Q: Given the graph of y = x2, how do you obtain the graph y = 4(x + 3)2 + 8?

A: Topic - transformation   of graph

Q: What is the equation of the graph? A. y = 4cos (3x) B. y= 4sin (3x) C. y = 3cos (4x) D. y= 3sin (4x)

A: Solve the following

Q: Determine the equation of the midline of the following graph. y 4 2 -81 -бл -47 -2J 4л бл 87 107 127…

A: Midline = Line + Middle of the graph

Q: the graph of y = b², where b > 0, b = 1 and x € R?

A: To explain: The graph of y=bx, where b>0, b≠1 and x∈R. Explanation: The graph of y=bx, where…

Q: Which of the following is the graph of y = g(x- 4)-2? %3D

A:

Q: The accompanying figure shows the graph of y = -x2 shifted to four new positions. Write an equation…

A: Consider that the graph of y=-x2 is shifted to four new points write the equation of each graph.…

Q: Sketch the graph of on the axes below, indicating the value of the y-intercept. O y = 15 x 7x X

A:

Q: (b) Sketch the graph of y = x² + b for b = ±1, ±2, and +3 in a single coordinate system.

A: To graph the function,  y = x2 + b For b = -3, -2, -1, 1, 2, 3 On a single coordinate system.

Q: If the graph of y = f(x) undergoes a horizontal stretch or shrink to become the graph of y = g(x),…

A: Given that, y= f(x) is a function. f(x) will undergo a horizontal compression when the scale factor…

Q: Sketch the graph of cach line. 8) 4x + 5y - -10 9. A) B) C) D) E)

A: An equation in general form is represented as : y=mx+c where m is the slope and c is the…

Q: Sketch the graph of r = 0 90° +2

A: To sketch the graph of r=θ90°+2.

Q: Which of the following shows the graph of y = 2(x – 1)² – 2? 6+

A: y=2(x-1)2-2

Q: Sketch a graph of 9. 7+ y? =D1 25 6-

A: The given equation is x29+y225=1

Q: If (a, 2) is a point on the graph of y = 5x + 4, what is a?

A: Given,(a,2) is a point on the graph of ,y=5x+4 ⇒(a,2) satisfies the…

Q: What is the equation of the graph? A. y = 2cosx +1 B. y = 2cosx - 1 C. y 2sinx +1 D. y = 2sinx - 1…

A:

Q: Which of the following is the graph of y = (x - 1)(x - 2)(x + 3)?

A: The given equation is y=x-1x-2x+3

Q: Which of the following is the graph of y> 2? 4 -3 -2 (a) (b) -1

A: The general equation of a line is y=mx+c where m is slope and c is the y intercept. If the slope is…

Q: (e) y = 2" +1 (f) y = 2" – 1 (g) y = 2+1 (h) y = 2"-1 -

A: To write the comparison of the graphs given with the graph of y=2x

Q: Sketch the graph of y x +2 5+ 4 2 2 5

A:

Q: The correct correct graph for y=​(x+5​)2 is what?

A: Given:The function y = (x+5)2.

Q: The accompanying figure shows the graph of y = -x2 shifted to four new positions. Write an equation…

A: Given: Rules for Vertical Shift: If c is a positive real number, the graph of f(x)+c is the graph…

Q: E¡ects of Parameters on Graphs

A:

Q: Which of the fallowing is the graph of y= VI+1-2?

A:

Q: To graph y = x2 - 4, you would shift the graph of y = x2 _______ a distance of ________ units.

A: To get the graph of  y = x2 - 4 From y = x2 We need to do an operation as follows,

Q: Match the equation with its graph. z2 = 1 9. 16 41 31 21 27 3 2. -5 -3 56 १ 24

A:

Q: What is the graph of y = †x³

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.