Find the vertex of the given quadratic functions. Describe the location as a transformation of the original function f(x) = x2. (Choose 2) 6. f(x) = (x – 6)² + 3 7. g (x) = x-8x- 16 8. h (x) = x +2 – 8

Q: Change and enter the quadratic function from vertex form, y ax-h)+k, to standard form, y =ax2 +bx…

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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: Sketch the graph of the quadratic function. f(x) = 3x² + 2 No Solution → Help vertex -10 - -8-7-6-5…

A: We need to draw graph.

Q: Find the quadratic function y = a(x-h) whose graph passes through the given points. (9,- 12) and…

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Q: 8. Which of the following functions represents the vertex form of y = x? - 12x – 18? a. y = (x - 6)2…

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

Q: Determine the quadratic function whose vertex is(1,-5) and whose y-intercept -3 is The graph of the…

A: Vertex is (1, -5) The y-intercept is (0, -3)

Q: Q5. Find the quadratic function ffx) = ax +bx +cwhose vertex is (3, 4) and y-intercept of (0. 1).

A: Given: quadratic function is  f(x)=ax2+bx+c........(1)   since y-intercept is (0,1) ⇒f(0)=1 so…

Q: A. Rewrite the given quadratic function to its Vertex Form y = a(x – h)² + k. %3D 1. y = x? - 4x + 1…

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

Q: Write the quadratic function in the form f (x)= a (x-h)² +k. Then, give the vertex of its graph. f…

A: To find: The vertex of the graph fx=ax-h2+k. Given: The equation is fx=3x2-12x+11. Concept used: The…

Q: Determine the quadratic function f. Simplify. The vertex is (3,-1) and the other given point is…

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Q: Find the quadratic function y = ax+bx +c whose graph passes through the given points. (3,31),…

A: As the given quadratic function graph passes through the given points so the given function satisfy…

Q: Determine the x-intercept(s) of the quadratic function f(x)=x²+ 2x+ 2. no x-intercept(s) (-7, 0),…

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Q: Rewrite the following quadratic function in standard (vertex) form. Enter exact values and use…

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Q: Use the graph of the transformation of the square root function to find a formula for the function.…

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Q: Sketch the graph of the quadratic function g(x) = (x - 3)^2 - 1. Be sure to include and clearly…

A: Let's prepare a set of points: x g(x) 0 8 1 3 2 0 3 -1 4 0 5 3 6 8 7 15

Q: 3. Graph the function. - 2r+ 8 if x<4 (x) = 1 %3D

A: Here we have to graph the given function  f(x)=-2x+8 if x≤412x if x&gt;4

Q: Complete the table of values for the quadratic function y = x2 + x - 4 -3 -2 -1 1 2 3 y Complete the…

A: Topic:- Equations

Q: Rewrite the quadratic function in transformation form. h(x) = 2x2 + 8x – 9 h(x) = 2(x+ 2)² – 17 %3D…

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Q: Rewrite the quadratic function in vertex form and give the vertex.   f(x)=3x^2−9x   I wrote for…

A: We have to rewrite the given quadratic equation in the vertex form…

Q: The graph of f(x) = x2 – 7 is horizontally stretched by a factor of 4.5. Write the equation…

A: Here the graph of f(x)=x²-7 is horizontally stretched by a factor of 4.5.  We want to write the…

Q: Show all work and sketch the graph of the quadratic function f(x)=4x2+16x. The graph should contain…

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Q: Write the quadratic function in the form f(x) =a (x-h)*+k. Then, give the vertex of its graph. f() =…

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Q: Change and enter the quadratic function from vertex form, y = a(x - h)2 + k, to standard form, y =…

A: Here we write the quadratic function vertex form to standard form.

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

A: Given graph is parabola and the given vertex is (2, -2) and one point on the parabola (1, 1).

Q: Find a quadratic function f(x) = ax? + bx +c whose vertex is (2, 4) and whose y-intercept is (0,…

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Q: C. Write the quadratic function that will result in each translation. The graph of y = 2x² is…

A: c. 1. Given graph y=2x2 we need to write the quadratic equation when graph is translated 2 units…

Q: Find the equation of the quadratic function f whose graph is shown below. -2 10 12 7 (3, – 2) -2-…

A: Given, Graph of quadratic function is passing through the points 3, -2  and 5, -10  We have to find…

Q: 10. Write the quadratic function f (x) = + 4x - 5 in standard form then write the vertex.

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Q: Find two quadratic functions, one that opens upward and one that opens downward, whose graphs have…

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Q: Use the graph of the transformation of the square root function to find a formula for the function.…

A: Parent function  y=√x

Q: Q3:1) Is y = -V1 – x2 a function? 2) Graph the function f(x) %3D x< 0

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Q: Find the equation of the quadratic function f whose graph is shown below. 10 12 14- (5,-2) (6,-4)…

A: Given graph of quadratic function is

Q: Write the quadratic function in the form f (x) = a (r-h)+k. Then, give the vertex of its graph. f(x)…

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Q: Match the quadratic function with its graph. (x) = x- 2)2 y 10 -5 10 10 5

A: Given query is to find the graph of the quadratic function.

Q: The following equation of a quadratic function is given in standard form. f(x) = -2x2-16x - 30…

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Q: Which quadratic function matches this graph? O f(x) = x² − 14x +45 O f(x)=x²- 11x + 28 O f(x) = x² +…

A: As per our guidelines we have to answer the first question if multiple questions are posted at a…

Q: Find a quadratic function f whose graph is shown. f(x) : y 1아 5 (2, 3) -10 -5 II

A: Given a parabola whose graph is shown below  The given parabola is symmetric to x=2 and the vertex…

Q: 2. Write a quadratic function whose graph has the given characteristics. x-Intercepts: (4, -1)…

A: We use the formula y=k(x-a)(x-b) where a and b are the x intercept .and we find the value of k…

Q: Write the quadratic function in the form f (x)= a (x– h)²+ k. Then, give the vertex of its graph.…

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Q: 4 y-fx) 36) Use the graph of the quadratic function to write it as: f(x)-a(x -h)'+k 26 -4-2

A: The graph is downwards parabola whose equation is (y-k)=a(x-h)^2, where (h,k) is the vertex of…

Q: The graph of y = x^3 is translated to create a cubic function f(x) with x-intercepts at (-4,0),…

A: Given   x-intercepts are (-4,0), (-1,0) and (4,0).   Therefore factors are (x+4) , (x+1) and (x-4)…

Q: If a quadratic function has the rule f (x) = (x – h)² + k, what will cause a vertical translation?…

A: The answer is given below.

Q: Write the quadratic function in the form f(x) = a (x-h)²+k. Then, give the vertex of its graph. 2 f…

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Q: Determine the vertex of the quadratic function f(x) = −1/3 x2+4x −7. Write your answer in the form…

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Q: Match the physical situation with the graph of the quadratic function that models it best. The…

A: Here  x shows time in hours  y shows temperature after x hours

Q: Find two quadratic functions, one that opens upward and one that opens downward, whose graphs have…

A: A quadratic function with x-intercepts (-4,0),(5,0) then gives (x+4) and (x-5) are factors of…

Q: Sketch the graph of f(x)=(x+2)³/²+1 stretch vertically by factor of 3.

A: Given: The function is, fx=x+23/2+1

Q: Change and enter the quadratic function from vertex form, y = a(x – h)² + k, to standard form, y =…

A: The odjective is to convert the the quadratic function from vertex form to standard form

Q: Describe the graph of the quadratic function; f(x)= −4 (x − 8)2 + 4

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