What happens to the graph of y = ax2 + bx + c asa. 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: 15) What is the graph of the equation (x - 8)^2 + (y + 2)^2 = 25? 1 point O A B

A:

Q: What kind(s) of symmetry does the graph of y2 = x2 + 6 exhibit?

A: The given equation is y2 = x2 + 6. known fact: 1. The graph of given equation is symmetric with…

Q: 1. Which is the graph of (x + 1)2 + (y – 1)2 = 4? -2 y -3 -1 2 -2+

A: (x+1)2 +(y-1)2 = 4 standard form of equation is  (x-h)2 +(y-k)2 = r2 so radius = 2 centre = (h,k) =…

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

A: The given equation is

Q: 2. Sketch the graph defined by the equation y? = r (2 – x), 0<r <2. %3D

A:

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

A:

Q: 3. To graph y =x² - 4, you would shift the graph of y = x? a distance of units

A: Shifting rule of graph: The graph of fx-c is the graph of y=fx shifted downward by c units.…

Q: Find the points of intersection of the graphs of the equations.                            x2 + y2 =…

A: From equation (2), we have

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

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

Q: What Is the equation of the graph? Oy= - x O y= 4 x OY=4x

A: Clearly the line is passing through the origin.

Q: Match the equation with its graph. x2 y2 = 1 9. 16 9. 6 4 56 31 3. 21 2. 4 -3+ Submit Answer

A: Show the traces in the XY, YZ &amp; XZ plane.

Q: snip

A: Given that: y=x3-3x+1 To check the points (-2,-1) lies on the graph, Substitute x=-2, y=-1 in given…

Q: In the equation y = ab(x-h) + k, how does the value k affect the graph?

A: Use given function

Q: Sketch a graph of y = 2 z| %3D 4- -5 43-2 -1 123 4$ -2 -5+ Clear All Draw: 2.

A: To  sketch :  A graph of y=2x.

Q: At which of the five indicated points of the graph in the figure below y' and y" have the same sign?…

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Q: Below is the graph of y = lnx. Translate it to become the graph of y = In (x – 4) +2 6. 2- 4-

A: Given query is to find the graph after transformation.

Q: 9. Determine if each point lies on the graph of y ==r-2. 3. %3D (a) (10,4) (b) (-5, 5)

A: Given: y=35x-2 We know that if a pointx1,y1 lie on a lineax+by=c then pointx1,y1 will satisfy…

Q: Sketch the graph of each line and label at least 3 points on each line A. y=_3/4x-1 B. 2x+3y=9

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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: - Sketch the graph of y=-4(x+4)² +4 and identify the axis of symmetry. *--4 x- -16 x- 4 x- 16

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Q: If ( a, -5) is a point on the graph of y = x2 + 6x , what is a?

A: Given, ( a, -5) is a point on the graph of y = x2 + 6x

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: (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: 3 2 1 -4 -3 -2 -1 1 2 3 -2 -3 4 3 2

A: The given function is y=2x.

Q: 4- 2- 1- 3 -1 -2 -4 十5|。 en

A:

Q: 3- A B

A: Circle with center=(-1,0)                    Redius=4

Q: If the graph of y 14x + 23 is translated down 13 units, what would be the equation of the new graph?…

A:

Q: (x + 1)? (y – 1)2 - Sketch a graph of 9. 1 7+ 6,

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Q: This is the graph of -2x + y 2 1. O True O False

A: The inequality given is  -2x + y &gt; 1 So for finding the point on graph we take  -2x +y = 1 And…

Q: Create the graph of Y=(x-3)^2+1

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Q: Match the equation with its graph. 15x2 – 4y2 + 15z2 = -4 31 3 21 4 5 ►y

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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: 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: Match the equation with its graph. x2 y2 z- = 1 9. 6. 16 6. 4 3. 6. 56 3. 3. 1 -3 14 +

A: The graph of the equation is below:

Q: Sketch the graph of y = ax? for a =±1, ±2, and ±3 in a single coordinate system. %3D

A: y = x2 &amp; y = -x2y = 2x2 &amp; y = -2x2y =3x2 &amp; y = -3x2

Q: Which of the following is the graph of 16x² + 25y² - 400?

A:

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 following is the graph of y |x+2|? A) (-2,0) B) (2,0) D) (-2,0) (2,0)

A: Giveny=x+2

Q: Which is the graph of y = -0.5x + 3? %3D yA 6. 6. 3 O A. + O C. + -6 -3 -6 -3 3. 6. -3 3. 6,

A: Given, y=-0.5x+3

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: The graph of y = Ixl is shifted down by 9 units and to the right by 4 units. What is the equation of…

A: When a curve is shifted by a units down that means the value of y has decreased by a units When a…

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

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Q: . Use a graphing utility to graph the points (x, y) fromthe table.

A: To Determine: Use a graphing utility to graph the points (x, y) from the table. Given: we have a…

Q: Sketch the graph of y = ax? for a = ±1, ±2, and ±3 in a single coordinate system. %3D

A: Consider the given:  Table:

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.