63. Prove that every quadratic function of the form f(x) = x2 + bx +c can be written in the form f (x) – (x – k)² +C, with k = - an b d C =c - 4

Q: Imagine a graph (not pictured) of a quadratic function g(x): Which of the following would be a…

A: Imagine a graph (not pictured) of a quadratic function g(x) and the new graph g(x+2)

Q: A quadratic function is given f(x) = -x^2 + 8x + 4. The standard form  f(x) = -(x - 4)^2 + 20. The…

A: Use the given information and sketch the graph of the given function as follows.

Q: You are asked to write the quadratic function with the smallest possible integer coefficients that…

A: The given roots of equation are

Q: 2. Write the polynomial f(x) = 5x-4 in the form f(x) = (x−2)Q(x) + f(2) for some polynomial Q(x).

A:

Q: quadratic function J (- nonzero integers.

A: We have to write a quadratic function of the form: fx=x2+nx+c, where n and c are non-zero integers.

Q: The quadratic form Q(x) = 3x,² + 7x22 + 4x3? is (a) Positive definite (b) Indefinite (c) Negative…

A:

Q: f(x)= 6x +11x+3 is a quadratic function. O True O False

A: Given query is to find that statement is true or false.

Q: 11. Use the quadratic formula to explain why a quadratic polynomial function f(x) = ax? + bx +c is…

A: fx=3x2+2x+6

Q: Which of the following equations is a polynomial in standard form? O f(x) = 4x - r +3VT %3D O f (r)…

A: Yes, you are correct.

Q: For what value of a will the quadratic function y = a(x-6)2 - 27 pass through the point (0,225)

A: The objective of the question is to find the value of 'a' in the quadratic function y = a(x-6)^2 -…

Q: 7) Write the quadratic function, f(x)=x²-2x-8 in vertex form and then find all of the following: a.…

A:

Q: 3. The amount of junk mail received in one week by residents of a suburban town can be modeled by…

A:

Q: 21. Find the discriminant of the quadratic function f(x) = x² + 18x + 81. O 648 O 324 O -324

A:

Q: 1ess of q(x) = xỉ + 2V6x,x2 + 2x?

A:

Q: 2(×+2)^2-18=0 is the equation resulting from setting a quadratic fuction f(×) equal 0 and completing…

A: A parabola having axis of symmetry along y-axis or a line parallel to y-axis is given by…

Q: The Range of the quadratic function f(x) =-² +24r + 55 is O (-55, 12] O (-00, 55] O [55, 00) О (),…

A:

Q: f(x) = -2x² – 3x +6 f(x) = 2x² – 4x + 10

A:

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

A:

Q: Rewrite the quadratic function ƒ(x) = x2 + 6x in standard form and identify the vertex of its graph.…

A:

Q: Write the quadratic function in the standard form y = a(x - h)² + k. y = x² - 6x Oy = (x+6)²-6 y =…

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Q: f(x) = 3x² Зх + 9 f(x) %3D 4x? + 6х — 8

A: Here, we need to create the tables of the given equation.

Q: n which interval does the polynomial function f ( x ) = x 3 − x 2 − 31 have a zero?

A:

Q: The quadratic function N(x) = 3x²+2x+1 represents the number of households N(x), in thousands, in a…

A: Given quadratic function is Nx=3x2+2x+1. Substitute N=57 and solve for x…

Q: 5. Determine an equation for the quadratic function with zeros of √√5 and - √5 and containing the…

A: Let standard qudratic equation be Which can also be written in term of zeroes, a (x-) (x-) ....(i)…

Q: - Express P(x) = xª +.2x³ + 2x² - x - 3 in terms of Legendre's polynomials

A: In this problem, we use Rodrigue's formula to express Legendre's polynomials.

Q: . Write the quadratic function in standard form  f(x)=x^2-8x+21 =  2. Write the quadratic function…

A:

Q: Find the x-intercepts of the following quadratic function. f(x) = -x² +9 O (0, 3) and (0, -3)…

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Q: 16x² 77.9 45 (45)² horizontal distance of the golf ball from the point of impact. What is the…

A:

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…