Q.3 (a) for the following quadratic equation, determine (i) which way parabola open (ii) the coordinates of vertex (iii) the roots of the function P -90x - 200 – x²

Q: find the coordinates of the vertex for the parabola defined by the given quadratic function  f(x)=…

A: At the vertex x= -b/(2a)  We compare f(x)= -x^2-4x+10 with f(x)= ax^2+bx+c  a=-1 , b=-4 and c=10

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

A: Here given an equation of the parabola

Q: If a ball is thrown upward at 49 meters per second from the top of a building that is 30 meters​…

A: given St=30+49t-4.9t2

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

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Q: Use the formula x = - to find the x- 2a coordinate of the vertex for the parabola defined by the…

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Q: The vertex of a parabola is located at (−5, 6). If the parabola has a y-intercept of (0, 231), which…

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Q: The equation of the parabola that has a vertical axis of symmetry, touches the x-axis and has its…

A: Given, The parabola has vertical axis of symmetry touches the x axis and has its focus at 1, 7 We…

Q: r(x)=x2+5x+4 Find two points on the graph of the parabola other than the vertex and x-intercepts.

A: The given equation is rx=x2+5x+4. Find two points on the graph of the parabola other than the vertex…

Q: ,2 The vertex of the parabola of f(x)=x²+x is

A: Equation of the parabola :y=a(x-h)2+kwhere (h,k) = vertex of the parabola

Q: Consider the graphs of equations of the quadratic form = ax² + bx + c that have two x-intercepts.…

A: First, we will plot the graph of quadratic equation ax2+bx+c=0.    Axis of parabola i.e. axis of…

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = 3x2 -…

A: Vertex form of parabola equationis given byy=ax-h2+kwhere h,k is vertex

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = 2x2 -…

A: Given quadratic function, fx=2x2-8x+3 let y=2x2-8x+3 We know that for any parabola in the form…

Q: 25. What are the coordinates of the vertex of the parabola given the function f(x) = x2 + 8x-3 %D

A: f(x) = x2+8x-3 From the above equation we can see that the highest power of y is 1 and x is 2. This…

Q: Consider the following quadratics: Q1:x2+y2-5z2-9=0 Q2:x2+y2-8z2=0 Calculate the distance of the set…

A: Given Q1:x2+y2-5z2-9=0Q2:x2+y2-8z2=0

Q: 1. Find the discriminant of f(x) = x^2 +3x+2 How many x intercepts would the quadratic have if the…

A: as per our company guidelines, we are supposed to answer the only first question. Kindly repost…

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

A: Equation of parabola: f(x)=a(x-h)2+k Where (h, k) is the vertex of parabola.

Q: Find the equation of a quadratic function of the form f(x) = ar? +br + c with vertex at (4,8) and…

A: We have to find a quadratic equation of the form fx=ax2+bx+c with vertex at 4,8 and x-intercept is…

Q: For the quadratic function f(x)=x^2+4x, answer part (a) below ​(a) What are the coordinates of the…

A: Recall the following facts.

Q: Find the x intercepts and the coordinates of the vertex for the parabola y = x^2 + 4x -21. If there…

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Q: Q.3 (a) for the following quadratic equation, determine (1) which way parabola open (ii) the…

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Q: For each of the following quadratic functions, find the vertex, y-intercept, and the x-intercept(s)…

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Q: 2. (a) Bring the quadratic function f(x) 1 x² + 3x 5 into the standard form and identify the axis of…

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Q: Let (h, k) be the coordinates of the vertex of a parabola. Then h equals the average of the two real…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2.) x - 7x -18x 10

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Q: Q.3 (a) for the following quadratic equation, determine (i) which way parabola open (ii) the…

A: As all three question are independent to each other therefore according to guideline , I am solving…

Q: a) Find the discriminant of y = 14x2 - 13x +7. %3D b) How many roots does the graph of y = 7x2 – 23x…

A: Given that, There are two equation following, (a). y = 14x2 - 13x + 7 (b). y = 7x2 - 23x + 4 In…

Q: Let f (x) = 1x² +6x+8. Find the x-coordinate for the parabola's vertex. Round your answer to the…

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Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=-x²+2x+3. If there is…

A: Given :y=-x2+2x+3

Q: 3) Find the vertex of the parabola f(x) = 4x² + 40x+104. Write in correct (x, y) form.

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Q: the value of a in y=ax^2+bx+c and the vertex of the parabola are given. how many x-intercepts does…

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Q: Find the axis of symmetry of the parabola defined by the given quadratic function. f(x)=6x2-12x+1

A: Find the axis of symmetry of the parabola defined by the given quadratic function.f(x)=6x2-12x+1

Q: How do I solve this optimization problem?

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Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x+4x-5. If there is…

A: The given parabola is: y=x2+4x-5...(1)

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -2(x +…

A: Given: f(x)=-2x+12+5

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. 2(x -…

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Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) =…

A: We have to find the coordinates of the vertex for the parabola defined by the quadratic function…

Q: find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) =…

A: The equation for a parabola is written in vertex form as, In vertex form the vertex is given as…

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x)…

A: The quadratic function is given by fx = 2x-32+1 To evaluate : The vertex of the parabola defined by…

Q: 25. Find the vertex of the parabola given by the quadratic function y = f(x) = 2x² - 4x + 1 %3D A)…

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

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Q: To y=x²-12x + 20 Parabola Wite the intersection point of the tanpent lines drawn from (2,0) and…

A: Consider the given parabola and find the derivative of the parabola.…

Q: a. y = y==x²-2x +3 b.y= -x2 - 2x-3 Cy=x² -2x-3 dy = 2x2 +2x +3

A: The following quadratic equations is a parabola that contains a maximum

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

A: Given: f(x) = -2x2 + 8x - 1

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f (x) = 3(x…

A: Given function is  fx=3x+52−4

Q: f(x)- 2x+16X+ 27

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Q: What is the x value of the high or low point of the parabola f(x) = x^2 + 1?

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Q: The formula h(t)= -16t^2+48t+160 gives the height of an object thrown from a building where t is…

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Q: The height, h(x), of a punted rugby ball is given by h(x)= 21 +zX- 2x+3 where x is the horizontal…

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Q: Find the vertex for the parabola y = 0.01x2 + 0.6x + 100. Then determine a reasonable viewing…

A: Given: y=0.01x2+0.6x+100  To determine: The vertex for the given parabola & graph of the given…

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.