Given a quadratic function f(x)= ax² + bx + c. %3D (i) Show that the function f(x) can be written in the form of b. 4ac-b? f(x)= a x+ %D 2a 4a

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: 2 -2 2 -2 6,

A: Quadratic graph

Q: 5. The height of a football thrown in the air is given by the quadratic function, h(t) = -3(t - 3.…

A: Given: The height of a football thrown in the air is given by the quadratic function,…

Q: Determine, without graphing, whether the quadratic function f(x) = -2r? + 12x – 16 has a minimum…

A: Given: The quadratic function f(x) = -2x2+12x-16. To find: a. The Maximum or minimum value and where…

Q: Find the equation of the quadratic function f whose graph is shown below. (5, 4) s(x) = | 10 12 14…

A:

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

A:

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

A: The quadratic form of a cuvre in vertex form is represented by  y = a(x-h)^2 + k  where (h,k) is the…

Q: 26.) What is the vertex of the given quadratic function? y = x2 – 8x + 23 A) (3,4) B (4,3) C)…

A: The given quadratic function,     y=x2-8x+23

Q: The quadratic equation for the cost in dollars of producing automobile tires is given below where x…

A: Given:

Q: Find the x-intercepts (if any) for the graph of the quadratic function. 2) f(x) = x2 + 16x + 47 Give…

A: The X-intercept is a point where the y-coordinate is 0. You can find the x-intercept of a function…

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

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

Q: Which is true for the quadratic function, y = x² + 8x + 25? Use the online calculator. O It has a…

A: A function is said to has a minimum function value at 'x=a', when f'(x)=0, or at x=a ,f'(a)=0,…

Q: What is the coordinate of the vertex of the quadratic function given below? f (x) = 9 – 6x – x²

A: Given : Quadratic function f(x) = 9 - 6x - x2   To find : Coordinates of the vertex of the given…

Q: Use the graph of the quadratic function f(x) = a(x - h)- +k to find the vertex, axis of symmetry,…

A: To find the vertex, axis of symmetry, and maximum or minimum value of function using the given graph…

Q: Which is true for the quadratic function, y = x2 + 8x + 25? Use the online calculator. It has a…

A: Given quadratic function is y=x2+8x+25. Given quadratic funcion can be written as:…

Q: The revenue from the sale of a product is given by the function R= 289x-x², (a) Use factoring to…

A:

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: 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 vertex of the graph of the quadratic function. -x2+12x-36 O a. (-6, -6) а. O b. (0, 6) О с.…

A: y = a(x-h)2+k  vertex (h,k)  we use completing square method

Q: For the quadratic function f(x) =2x +2x+ 5, find (a) the vertex, (b) the line of symmetry, and (c)…

A:

Q: Determine the quadratic function f(x)= ax+bx + c, whose graph is given. 10 5+ +++> 10 X -10 -5 F0,…

A:

Q: Given a quadratic function f(x)= ax +bx+c. () Show that the function f(x) can be written in the form…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: The quadratic function f(x) = 2? + bæ + 49 is a perfect square trinomial. What is a possible value…

A: A perfect square trinomial  will have a discriminant b2-4ac=0.

Q: which are the quadratic function fCx )= x? - Il x-42? (A) X=-6, X=1 (B)x=-3, x=1. C) x - 3, X=-14…

A:

Q: Callaway Golf Company hasdetermined that the marginal cost C of manufacturing xBig Bertha golf clubs…

A: Given that, Callaway Golf Company hasdetermined that the marginal cost C of manufacturing xBig…

Q: The y-interceptof the quadratic function f(x)=x² - 9x+5 is a) 5 b) -9 c) 1 d) по у - intercepts %3D…

A: We have to find y intercept

Q: Find the quadratic function f(x) = ax² + bx+c for which f(1) = -19, f(-2)= -28, and f(2)= - 44. What…

A:

Q: Determine the quadratic function f(x) = ax + bx + c, whose graph is given. 2. 10 (-1, 4) 主 -10 10 x

A: We have to find quadratic function by graph.

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: The quadratic function f(x) = x² + bx + 81 is a perfect square trinomial. What is a possible value…

A:

Q: A fast-food restaurant has a cost of production C (x) When does the company start to turn a profit?…

A:

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: Write the quadratic function from the given table. -1 1 3 4 6 y 2.5 -1.5 -2 -1.5 2.5 LO

A: We find the quadratic function by using least square method :

Q: Find the equation of a quadratic function having the x-intercepts a(-4,0) and b(3,0) and passing…

A:

Q: The vertex of the quadratic function f(x) = 2x² – 8x + 11 is a) (2,3) b) (-2,-3) c) (-2,3) d) (2,-3)…

A:

Q: Find a formula for the quadratic function with a vertex of (5,0) while f(6)=2

A: Given,           A formula for the quadratic function with a vertex of 5,0 while f6=2.We know that,…

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

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

Q: Determine the quadratic function f whose graph is given. 8- The vertex is (1, – 5) and the…

A: Question- Determine the quadratic function f whose graph is given. The vertex is (1,5) and the…

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: Given a quadratic function f(x)= ax? +bx +c. %3D ах (i) Show that the function f(x) can be written…

A:

Q: A fast-food restaurant has a cost of production C(x) = 14x + 108 and a revenue function R(x) = 82.…

A:

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

A: The given quadratic equation is Convert the given equation in the form of

Q: Identify the quadratic function from the graph -2 -4 -3 -2 -1 2 4 a) f(x) = x² – 4x + 5 b) f(x) = x²…

A: Consider the quadratic equation given in part (a), fx=x2-4x+5 from the graph, it can be observed…

Q: A hotel entrance makes a parabolic arch that can be represented by the quadratic function, y=-x^ 2…

A:

Q: For the quadratic function, consider the following. f(x) = -x2 - 60x - 1,150 %3D (a) Find the vertex…

A:

Q: Q4. Use the graph of the quadratic function shown below: 6 to identify the equation of the function.…

A: To identify the equation of the graph.

Q: Which quadratic function opens down and is NARROWER than the graph of y=x ? (A) y =-x - 3x+2 (B) y…

A:

Q: Given the quadratic function x²-8x+12% 3y, find the:

A: We are solving the first three subparts and for the next subpartspost the question again and…

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: Graph the quadratic function using the vertex and x-intercepts. Show your work and explain the steps…

A: Given quadratic equation, x2+5x-6=0 To graph this equation using vertex and x - intercepts.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.