The graph of a function of the form
f(x)=ax^2 + bx + c for different values of a, b, and c is given. For the function, find the following.(a) Determine if the discriminant is positive, negative, or zero. (b) Determine if there are 0, 1, or 2 real solutions tof(x)=0. (c) Solve the equationf(x)=0. |
The graph of a function of the form f(x)=ax^2 + bx + c for different values...
In Python. The two roots of a quadratic equation ax^2 + bx + c = 0 can be obtained using the following formula: r1 = (-b + sqrt(b^2 - 4ac) / (2a) and r2 = (-b - sqrt(b^2 - 4ac) / (2a) b^2 - 4ac is called the discriminant of the quadratic equation. If it is positive, the equation has two real roots. If it is zero, the equation has one root. If it is negative, the equation has no...
Write a function of the form f(x) = A cos (Bx-C) for the given graph. Express your answer in terms of simplified fractions if necessary. Ax)= .. x 5 Continue Submit Assignment © 2020 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy Accessibility
C++ The roots of the quadratic equation ax² + bx + c = 0, a ≠ 0 are given by the following formula: In this formula, the term b² - 4ac is called the discriminant. If b² - 4ac = 0, then the equation has a single (repeated) root. If b² - 4ac > 0, the equation has two real roots. If b² - 4ac < 0, the equation has two complex roots. Instructions Write a program that prompts the...
6. Write the quadratic function f(x-ar' + br + c , a * 0 İn vertex form f(x) = a(x-h)' + k using e fo rmulas for h and k in terms of the procedure of completing the perfect square and provid parameters a, b, and c. Solve the equ formula. Factor the quadratic expression ax+br+c in terms of the solutions x, and x, of the quadratic equation. Write equations expressing the relationships between parameter a, b and c and...
A quadratic equation is generally represented as, ax^2 + bx + c The root(s) of the above quadratic equation is computed using the following formula, root1 = (-b + sqrt(D))/ 2a root2 = (-b - sqrt(D))/2a Where D is the discriminant of the quadratic equation and is computed as, D = b^2 - 4ac Given the value of D, the roots of a quadratic equation can be categorized as follows, D > 0 : Two distinct real roots D =...
Use Python Programming. Design a class named Quadratic Equation for a quadratic equation ax + bx+c 0. The class contains: • The data fields a, b, and c that represent three coefficients. . An initializer for the arguments for a, b, and c. • Three getter methods for a, b, and c. • A method named get Discriminant() that returns the discriminant, which is b- 4ac The methods named getRoot 1() and getRoot 2() for returning the two roots of...
Let f(x) = ax + bx+c -4 Choose appropriate values of a, b, and c such that lim f(x) = 1 AND lim f(a) = 0. @ @ a = 0, b = 1, and c = 4 = 0,6 = 1, and c = -4. = 1,6 = 0, and c = -16 1. b = 2, and c=1
Write a function of the form f(x) = A sin(Bx-C) for the given graph. Express your answer in terms of simplified fractions if necessary. परिसरमा 24 f(x) = _ H sino T
Write a function of the form f (x) = cot (Bx-C) for the given graph. 3+y 2- - - - - 1 - - TT 31 IT 1— 151 71 1 4 4 4 ܠܛ -1- - f(x) = ਰੋ tan D coto 8
(1 point) Find a polynomial of the form f(x) = ax’ + bx² +cx +d such that f(0) = -3, f(-2) = 5, f(-3) = 2, and f(4) = 5. Answer: f(x) =