) Graph: f(x) = -x² + x + 6. Find the (a)vertex and determine if it's a maximum or minimum point, (b)the axis of symmetry, (c) two additional points that lies on the graph.

Q: tempts: 3 Graph f(x) = x + 8x + 12 below by first selecting the correct shape, clicking the vertex,…

A: Consider the graph:

Q: 1- Please I want solution for this question with clear graphs. Thanks   Note: Z = 8

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Q: A rectangle is bounded by the x−axis and y−axis and the graph of y=(6-x) / 2. What length and width…

A: The area of the rectangle is given by the formula, A=x·y Since the point (x, y) lie on the line so…

Q: True or False The y-coordinate of the vertex off1x2 = - x2 + 4x + 5 is f122.

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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: B)Graph the two equatin and find the points in which graphs intersect *+y=0, y-1IA UNIVERSITY

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Q: What are the steps to graph (x3+2x2+x)  /  (2x2+x-1)

A: The given expression is

Q: how to get vertex form and using an example of y=(x-2)(x+8)

A: We can convert it into vertex form .

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: Identify the vertex and leading coefficient. Given f(x) = 5(x+2)2 -5 Vertex: Leading coefficient:

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Q: 2. Graph ƒ(x)=2x² – x + 2. Vertex: Axis of symmetry: y-intercept (point):

A: Given function :

Q: 3. Find the values of b and c so f(x)=-8x² + bx+c has vertex (2, -7).

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1. What is the vertex of g (x) =- (x- 4)?

A: We have to find vertex

Q: 2-2r -15 2. Without graphing, explain what the graphpf S (x) – A 10 will look like.

A: 2) Consider the function fx=x2-2x-15x2-7x+10 Here, the objective is to determine shape of the graph…

Q: (b) Find the number of points of intersection of the graph of y = = -x + 6x -(a + 9) and the x-axis.

A: It is given that the equation of the parabola is y=-x2+6x+a-9. We have to find the number of points…

Q: Find the relative maximum and relative minimum points of the graph y = 3x3 + 2x2 – 11x

A: We use second derivative test to find relative maximum and minimum points

Q: a. What is the maximum or minimum point for the curve y = x² - 4 b. What is the maximum or minimum…

A: Given  y = x2-4    .............. (1)  To check local minima or local maxima, we have to…

Q: Determine if there are any inflexions on the graph given by y=2x4-3x³+ x²+6. Proof they are points…

A: The given function y=2x4-3x3+x2+6

Q: What is the vertex of g (x) = 2x? %3D

A:

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: 6. Is the vertex for g (x) =- (x- 4) a maximum point e on the graph or a minimum point on the graph?

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Q: If the revenue function is           R=500x-2x2  a)  Find the vertex .  b) What is the maximum…

A: Given revenue function is                                                              R=500x-2x2…

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: 3. What is the vertex of g (x) = x² + 5 ?

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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: What is the vertex of g (x) = (x + 3)+3?

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Q: Where is the graph of R(x) = x3 - 8/x2 - 25above the x-axis?

A: The graph of the equation x3-8x2-25

Q: 6. Determine whether the graph of y = 3 x³ - x is symmetric with respect to the x-axis, the y-axis,…

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Q: Compare and contrast the graphs of z2 = x² +y² and z = x² + y²

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Q: The graph of y = -9|x+3|-5 can be obtained from the graph of y= |x| by shifting horizontally…

A: Given

Q: Graph f(x) = 2x+1 and g(x) = 2-x+1 in the same rectangular coordinate system. Then find the point of…

A: To graph the function fx=2x+1  and gx=2-x+1. To draw the graph of fx=2x+1. When x=0 then fx=2. So,…

Q: 3) Determine the coordinates of the vertex for the function f (x) = -2x? + 12x +7 using any method.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the 2eros and graph 4=-x5-x年ay

A: Given equation, y =-x5-x4+2x3+2x2-x-1To find zeros of equation, equate it to…

Q: Sketch the graph of y = x 2 + 4x + 6 by plotting the minimum point, the y-intercept, and one other…

A: Since the leading coefficient is 1, which is positive. So this parabola will have its minimum value…

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

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Q: f (x) = x² . – 6x + 5 - Show the coordinates of at least FIVE points (including the vertex and all…

A: fx=x2-6x+5 It can be written as, ⇒fx=x2-6x+9-4⇒fx=x-32-4 Now comparing with fx=x-h2+k, we get h=3…

Q: 1. Find the maximum/minimum value of y = 10 - 4x - 3x² and where it occurs using completing the…

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Q: 9. If you were to graph f (x) = 2x2 + 4x – 6 , what would the coordinates of the vertex be? What…

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Q: Draw the graph of y = 3x2 + 6x − 24 and label its minimum

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Q: Is the graph of r(x) = -8x3 – 7x² + 2x +3 concave up or down at the point with r-coordinate –2?…

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Q: 9) What is the vertex point f(x) (x+3)(x+7)

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Q: 2. Find the vertex of the graph. y=-x|+4

A: Given : y = -x + 4   To find the vertex of the graph.

Q: Given f(x) = 5x - 30x + 49

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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> 0 ⇒ parabola is concave upwards.✦ a…

Q: The turning point on the graph of y 7x2 + 21x – 8 is at -

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Q: maximize: z 680x, + 250x2 subject to: x1 + 5x2 < 40 X1 2 0, x2 2 0 (HINT: If you decide to graph, it…

A: To solve the following inequalities using graph

Q: How is the graph of y = x2 + 6x - 3 obtained from the graph of y = x2?

A: To graph the equation y=x2+6x-3 from the graph of y=x2: Rewrite the equation as:…