What are the x-intercepts of the quadratic function f (x) = x² + 6x –27? %3D O-1 and 27 O-27 and 1 O-3 and 9 -9 and 3

Q: FCKS x? + x-7

A: Given: f(x) = x2 + x - 7 Convert into the form of f(x) = (x - h)2 + k

Q: Find the quadratic function y = ax2 + bx + c whose graph passes through the given points (1, 3), (3,…

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Q: Consider the Quadratic function f(x) = 9z? – 1. - Its vertex is ). The x value of its largest…

A: Vertex of quadratic equation is the highest or lowest pointy of the quadratic equation . Let we have…

Q: Find the quadratic function y = ax2 + bx + c whose graph passes through the points (1, 4), (2, 1),…

A: Given: The linear equation y=ax2+bx+c whose graph passes through the points (1, 4), (2, 1), and (3,…

Q: Determine b and c for the quadratic function f(x) = −x2 + bx + c where the y-intercept is 2 and it…

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Q: D. f(x) = In x + 2e - 3x2

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Q: How can you relate the following situations into quadratic functions? a. The number of kilograms of…

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Q: Find the x coordinate of the vertex: f (x) = x +5x+3

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Q: To put the quadratic function f(x)= ax2 + bx + c instandard form, we complete the____ .

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Q: Complete the square in the quadratic function f given byf(x) = 2x2 - 6x + 4

A: To complete the square in the quadratic function f.

Q: Find the quadratic function y = ax2 + bx + c whose graph passes through the given points (-1, -4),…

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Q: Find a quadratic function f whose graph matches the one below. f(x) =D (-2,3) (0,1) of

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Q: Find the quadratic function y = ax2 + bx + c whose graph passes through the points (-1, 0), (1, 4),…

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Q: Is √Ax²+Bx+C still a quadratic function/equation?

A: Given Question:- Is √Ax²+Bx+C still a quadratic function/equation?

Q: Consider the Quadratic function f(x) = 2x² – 2x - 60. Its vertex is ). > Next Question

A: f(x)= 2x2-2x-60  Find the vertex of f(x)

Q: Consider the quadratic function f(x) - 22 - 4x + 5. |

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Q: Find the equation of the quadratic function f that has its vertex at (3, 5) and contains the point…

A: Given: vertex at 3,5 and it contain the point 2,3

Q: Solve f(2) for f(x) = -4x + 3 %3D f(2) = [? ]

A: Put x= 2 in equation We get  - 4(2) + 3 -8 + 3 - 5

Q: State the circumstances that cause the graph of a quadratic function               f(x)= ax2+bx+c to…

A: An x-intercept is a value at which the graph of the quadratic equation function intersects the…

Q: Find the quadratic function y = ax2 + bx + c whose graph passes through the given points (-1, 6),…

A: Given, y = ax2 + bx + c  Given points (-1, 6), (1, 4), (2, 9).

Q: Graph the quadratic function f(x) = (x + 3)2 + 1.

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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: 2. Rewrite the quadratic function y= x²+5x-4 in vertex form.

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Q: Consider the Quadratic function f(x)=2x2−15x−8f(x)=2x2−15x−8. What is its vertex? What are the…

A: Given, quadratic function: fx=2x2-15x-8

Q: Use the graph of the quadratic function f to write its formula as f(x)= a(x - h) + k. 2- -> -4 1-2…

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Q: Consider the quadratic function f(x) = −(x^2 + 2x−8). turning point?

A: Given,

Q: The x-intercept of a quadratic function is at the point (0, c). O True O False

A: SOLUTION-

Q: D. Determine the equation of the quadratic given its graph. 1. {4, 6} x=4 & x=6 or

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Q: find the vertex of the quadratic function a. f(x)= 3(x+1)^2-4 b. f(x)= 2x^2-12x+1

A: The quadratic equation represents the equation of a parabola.The vertex of the parabola in the form…

Q: Find a formula for the quadratic function whose graph has a y-intercept of  y=11 and x-intercepts at…

A: To find the expression (second degree in x) for y from the given data

Q: Find the vertex of the quadratic function f(x) = 3x2 − 36x + 107.

A: Consider the given function f(x) and compare it with general equation for parabola to find the…

Q: Find the vertex of the quadratic function f(x) = 3x2 24x 50 (х, у) 3

A: To determine the vertex of the (parabola) defined by the given quadratic function

Q: Find the vertex of the quadratic function f(x) = 2x2 − x + 2

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Q: 3. Determine the x-intercept(s) of the quadratic function f(x) = x² + 10x + 26

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Q: The vertex of the quadratic function f(x) = 2(x – 1)2 + 6 is

A: We compare the equation with the vertex equation  y=a(x-h)2+k Comparing we get: h=1 and k=6

Q: The domain of a quadratic function is all real numbers and the range is y ≤ 2. How many x-intercepts…

A: We are given the range of quadratic function y less than equal to 2. It means parabola is downward…

Q: Find the point(s) of intersection. f(x) = 2x2 − 7x − 18 and g(x) = 3x + 10

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Q: Find the rule of the quadratic function y = ax^2 +bx+c whose graph passes through the points:…

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Q: Determine the vertex of the graph of the quadratic function  f(x)= x^2-8x+18

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Q: Consider the quadratic function f(x) = – x² – 3x + 10.

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Q: What are the x-intercepts of the quadratic function f (x) = x² + 8x + 12? O -3 and -4 O 2 and 6 O 3…

A: For x intercepts put the value of f(x) = y=0 i.e.,                x2+8x+12=0…

Q: the vertex of Quadratic function f( x ) = 2x2 - 4x +1 is : Select one: a. (1,-1) b. (-1,1) O c. (-1,…

A: We will find the vertex by completing the square

Q: find the Quadratic function y=ax2+bx+c whose points pass through the points (-1,6), (1,4), (2,9)

A: How to solve: you need to find the value of three variables, so you will three equations for that.…

Q: Find expressions for the quadratic functions whose graphsare shown.

A: Given

Q: Use the vertex  (h, k)  and a point on the graph  (x, y)  to find the general form of the equation…

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Q: the vertex of Quadratic function f( x) = 2x2 - 4x + 1 is : Select one: a. (1,-1) b. (-1,1) c. (-1,…

A: Given : f(x) = 2x2 - 4x + 1 Vertex of f(x) = ?

Q: The vertex of the quadratic function f(x) = 2x² + 8x+5 is a) (2,3) b) (-2,–3) c) (-2,3) d) (2,-3)

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Q: Which is the vertex form of the equation for the quadratic function y = 2x2 - 28x + 101? Oy = 2(x-…

A: The quadratic function y=2x2-28x+101, we have to find the vertex form of the equation for 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.