Use the formula x = - to find the x- 2a coordinate of the vertex for the parabola defined by the quadratic function f(x) = -2x2 + 8x + 6. Substitute this value into f(x) to find the y-coordinate of the vertex. Sketch the graph by plotting the vertex and two points to the left of the vertex and two points to the right of the vertex.

Q: Find the zeros of the quadratic function y = -2x2 - x + 2.

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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: Use the vertex and intercepts to graph the quadratic function f (x) = -x² + 2x + 3.

A: Here I will first find the intercepting points then I will draw this graph using this intercepts and…

Q: Find the vertex for the parabola y = -4x2 + 20x + 160. Then determine a reasonable viewing rectangle…

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Q: Write the equation of the parabola that has the same shape as f(x) = - 7x but with vertex (- 6,4) in…

A: Topic- equation of parabola

Q: Complete the square to re-write the quadratic function in vertex for. y = x´ + 10x + 8

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Q: Find the vertex for the parabola. Then determine a reasonable viewing rectangle on your graphing…

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Q: Determine the quadratic function f whose graph is given.     The vertex is (3,−4) and the other…

A: Given :- The vertex is (3,−4) and the other given point is (2,-1).

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

A: We compare  f(x) = 3x2 - 12x + 1 with  f(x) = ax2 +bx + c  So, a=3, b=-12, c=1

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

A: Given quadratic function f(x) = -2(x + 4)2 - 8     ...(1)

Q: Determine the vertex of the parabola. f(x)=x2-20x+106

A: Consider the given equation.

Q: In the following exercise, find the coordinates of the vertex for the parabola defined by the given…

A: vertex = (-7,4)   explanation is given in below step

Q: Find the vertex of the parabola answer must be an ordered pair F(x)=2x2-8x+3

A: We will find the vertex by comparing with standard form of quadratic parabola.

Q: Given f(x) = x² – 16x + 55, a. Does the graph of the parabola open upward or downward? b. Find the…

A: Given f(x)=x2-16x+55 Let y=f(x) Then y=x2-16x+55…

Q: Create the equation of a quadratic function that has a vertex (3, 18) and x intercept at (6, 0)

A: Find the value of constants from the given condion gives us the equation.

Q: Write the equation of the parabola that has the same shape as f(x) = 3x² but with vertex (7,6) in…

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Q: For the quadratic function y = 2x2 − 20x + 52, what are the coordinates of the vertex?

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Q: Write the equation of the parabola that has the same shape as f(x) = - 6x but with vertex (- 5,3) in…

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Q: A retailer who sells backpacks estimates that, by selling them for x dollars each, he will be able…

A: Given: A retailer who sells backpacks estimates that, by selling them for x dollars each, he will be…

Q: Determine the quadratic equation that has zeroes at -4 and 11, if f(-3)=56. Show all your work.

A: We have to determine the quadratic equation that has zeros at -4 and 11 If f(-3) = 56

Q: Sketch the graph of each quadratic function and compare it with the graph of  y = x2.

A: Compare both graphs

Q: b) Determine the concavity, Y-Intercept, X- intercept of the quadratic equation And sketch the…

A: Clearly shows the turning poin of the quadratic equation is (10, -50)

Q: Write the equation of the parabola that has the same shape as f(x) = 9x´ but with vertex (- 2,3) in…

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Q: Why does the graphy of the quadratic function f(x)=x2+4x+5 cross the y-axis but not the x-axis?

A: The graph the quadratic function crosses y axis because we can put x is equal to zero and get y…

Q: Sketch the graph of each quadratic function and compare it with the graph of y = x2. (a) f(x) = (x –…

A: Given f(x)=(x-4)2

Q: Sketch the graph of each quadratic function and compare it with the graph of  y = x2. (a)     f(x)…

A: topic - translation of a function

Q: Determine the equation of the quadratic function using the following data points (0,12), (1,6) and…

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Q: for the quadratic function f(x)=x^2-2x-15 b) find the coordinates of the vertex

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Q: In a nutrient medium, the rate of increase in the surface area of a cell culture can be modelled by…

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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: 50. (h, k) = (3, 2), (x, y) = (10, 1) %3D %D

A: the general form of the equation of the quadratic function

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function…

A: Consider the given equation of the parabola.

Q: y = 2x2 − 20x + 52,

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Q: for the quadratic function f(x)=x^2-2x-15 a) find the y-intercepts

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Q: Determine, in Factored and Standard form, the equation for the quadratic function that has…

A: The quadratic function is a second-degree polynomia in which the highest power of the variable term…

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

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Q: Sketch the parent quadratic y = x2, and the graph of y = g(x)on the same axes. Then write down the…

A: The parent function y=x2a) g(x)=(x+3)2 b) g(x)=-x2+4c) g(x)=14x2d) g(x)=2(x-4)2-3

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: For the quadratic function f (x) = −2(x+1)2 +2, find the vertex, x−intercepts (if possible),…

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Q: f(x) = 2(x-8)2 + 3

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Q: Use the zeros and the labeled point to write the quadratic function represented by the graph.

A: The general form is of the form y=a(x-b)(x-c) where a is constant and b,c are roots(x-intercept of…

Q: Find the vertex for the parabola. Then determine a reasonable viewing rectangle on your graphing…

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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 coordinates of the vertex for the parabola defined by quadratic function:…

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

A: For y=a(x-h)2+k vertex (h,k)

Q: The path traveled by a golf ball hit with a 9-iron can be modeled with the quadratic function, h =-…

A: Given that a path traveled by a golf ball hit with a 9-iron can be modeled with the quadratic…

Q: Consider the Quadratic Function y + 6x – 8 - a. Coordinates of the vertex: b. Coordinates of the…

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Q: Express the quadratic function f(r) = x² - x - 6 in vertex form, and %3D sketch its graph (showing…

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Q: Determine the quadratic formula f whose graph is given. The vertex is (2,-4) and the other given…

A: We can use the concept of quadratic equation in vertex form.

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.