5. a) Sketch a graph with the following characteristics: • A-3) = 16, A3) = 0, and A-1) = 0 y-intercept is 1 f(x) 2 0 when x< 3 f(x) <0 when x> 3 b) Determine a possible equation for this graph in factored form.

Q: b) Draw the parabola with a minimum value of -8, zeros at 2 and -2 and y – intercept of -8.

A: Answer

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: Sketch a graph of x = - 3t – 1, y = t – 3 . - 5- 4-

A: NOTE: Refresh your page if you can't see any equations. .

Q: On one set of coordinate axes, graph the family of parabolasf(x) = x2 + 2x + c for c = - 3, c = 0,…

A: Solution:given f(x) = x2 + 2x + c for c =- 3, c = 0, and c = 1To describe the characteristics of a…

Q: [2.5] Find the points at which the graph of the equation has a vertical or horizon 3x + 10y + 18x +…

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Q: Find the x-intercepts and the coordinates of the vertex for the parabola y = x^2 – 2x + 1. If there…

A:

Q: Given an equation in x and y, how do you determine if its graph is symmetric with respect to the…

A: Given an equation in x and y. To check the symmetry of the graph with respect to the y-axis,

Q: Suppose the graphs of y=5x^2+10x−8 and y=x^3+bx^2+30 intersect at x=−6. Find all intersection…

A: The given curves are y=5x2+10x-8 and y=x3+bx2+30 and both intersects at x=-6 Since the curves…

Q: To draw a graph for y = 2x + 5, a person can draw a point at x of 0 and y of a second point by going…

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Q: 3. 8. Find the positions and nature of any turning points on the curve y=x' +4x2 + 2x+1

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Q: Match the equation with its graph. y2 +z2 - x² = -1 = -1 %3D |

A: To be found :     Graph of y2 + z2  - x2 = -1

Q: is the graph of y=1/2x+4/3 perpendicular to the gragh of y=-1/2x+4/3

A:

Q: Let y1 = 4x – 3 and y2 = 5x + 2. Find the point of intersection for the graphs of y, and y2. (х, у)…

A: Given: Equation of two lines as,y1=4x-3y2=5x+2

Q: Express 3x? + y² + 2z? + 6x – 4y – 12z + 26 = 0 to its standard form. Also, Sketch and identify its…

A: We have given    3 x2 + y2 + 2 z2 + 6 x - 4 y - 12 z + 26 = 0      To Express it in Standard form

Q: rove, without graphing, that the graph of y= x^2 − 3 + 1/x. ? has at least two x-intercepts in the…

A:

Q: 18. Write the equation of a parabola with the shape as f(x)=-2x² but with the vertex (-3, 2).

A: Please refer the attached image for complete solution.

Q: Sketch the graph of y=2x^2-16x+30  Label the vertex and the x and y intercepts.

A: The given function is y=2x2-16x+30. Rewrite the above equation as follows.…

Q: Sketch a graph of y = V + 2 5+ 4- 3- 2- -5 -4 -3 -2 -1 2 3 4 5 -2 -3 -4 -5

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Q: Sketch a graph of æ = - 3t + 1, y =t – 2. 5+ 4 -5 -4 -3 -2 -1 1 2 3 4 5 -2

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Q: Sketch the graph of y = 4x/(x + 1)2, x &gt; -1.

A: To sketch the graph of y=4xx+12, x&gt;-1 Since x&gt;-1, we consider values of x greater than 1, and…

Q: Sketch a graph of x = t + 2t, y = t + 5, t > – 1 . - 5+ 3 2 -5 -4 -3 -2 -1 -1 2 3 4 5 -2 -3 -4 -5-

A:

Q: Sketch the graph of: (2x -) (5.1) у %3 сot (5.2) у %3D 3 seс ( x + 6.

A: (5.1) Given that                  y=cot2x-π2 Graph:

Q: 5. Identify and sketch the graph of y = x² + 1 in R³.

A: To identify and Sketch: the curve y=x2+1 in ℝ3.

Q: 28. Sketch the graph of 2x + 4y + 3z 12.

A:

Q: Suppose the graphs of y=5x^2+10x−8 and y=x^3+bx^2+30x+4 intersect at x=−6. Find all intersection…

A:

Q: Find all points of intersection of the graphs of x2 − y = 3 and x − y = 1.

A: Definition used -         Solution of equations using graph -       We graph both equations on the…

Q: ind the x-intercept(s) and the coordinates of the vertex for the parabola y=-x´-10x-25. If there is…

A:

Q: Sketch the graph of y = 2/(1 + x2 ).

A: Consider the given: y=21+x2Substitute x=0,y=21+0y=2Substitute x=1,y=21+1y=1Substitute…

Q: 2+3X A ) Sketch the graph 4+2X

A: We Know that steps to draw the graph. Step 1: Identify the variables. ... Step 2: Determine the…

Q: Find the shortest distance from a point (3,5) to the graph y=x2.

A:

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

A:

Q: Find two solutions of y = x - 4 38 Point 1: (2, y) Point 2: (x, y) → Then graph: 51 4 3 2 4 5 -5 4…

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Q: 4. What type of graph does x² + y² = (3 + 2x)² create?

A:

Q: Identify the graph of 3x2 - 2√3xy + y2 + 2x + 2√3y = 0.

A: The given curve is 3x2 - 2√3xy + y2 + 2x + 2√3y = 0. using any graphing calculator, sketch the graph…

Q: 5. A parabola has its turning point at x = -4 and one of the x-intercepts is x= -3. Ба What is the x…

A: From the given data: Parabola has a turning point at x=-4 That is x-coordinate of the vertex is…

Q: 4) Find the vertex of the parabola y=-3 x-2 x +7 and sketch its graph.

A: Given y =-3x2 -2x+7    We have to find the vertex of parabola and sketch its graph

Q: Suppose the graph of y = 5x + 7x – 2 is stretched horizontally by a factor of 4. The equation of the…

A:

Q: Where the graph y = x^3 − 3x^2 + 2x − 10 is concave up and concave down?

A:

Q: 1. Describe an algebraic method for determining the x-intercepts, if any, of a parabola which…

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Q: Draw the graph of 4x - 3y = 9 by first changing the equation to Slope-Intercept Form. %3D

A: we have to draw the graph of 4x-3y=9 by first changing the equation to slope intercept form. as we…

Q: What are the key features of 2x+ 4y 8 that can be used to sketch a graph?

A:

Q: Suppose the graph of y = x3/2is shifted to the left 4 units. What is the equation that gives the…

A: Given:                y=x32

Q: y = 2x + 16x + 24

A:

Q: Find all points of intersection of the graphs of x2 − y = 3 and x − y = 1

A: To find the points of intersection, we solve both equations.

Q: 3) Find the and directix f vertex, 7ocus. parabola y-x²+4x=8) the

A: The solution of the problem is given in the next step.

Q: Sketch the graph of y = x 2 - 6x + 8 by plotting the roots and the minimum point.

A: For a quadratic equation of the form ax2 + bx + c = 0✦ a&gt; 0 ⇒ parabola is concave upwards.✦ a…

Q: Match the equation with its graph. x2 y2 z2 %3D 16 -5 56 -y 3 3+ 2. -3 Submit Answer 24

A: