A quadratic function is of the formf(X) = ax-+ bx + c and when we set f(x), or y, equal to zero we call it a quadratic equationax + bx +c = 0. When we set y equal to zero and solve for x we are finding the x- intercepts. Here are three quadratic equations: y = x2- 2x – 1 y = - 3x²+12x – 12 y = x2-6x + 13 Using your graphing calculator find the x-intercepts, y-intercepts, and the maximum or minimum values of the quadratic equations. • Confirm your answers using the Quadratic Formula program. • Last, since your calculator only gives real number approximate answers for the zeroes solve these by hand to provide us with exact answers (might be complex numbers).

Q: Find the quadratic function that is depicted in the picture. Your final answer should be in…

A:

Q: a Equation Standard Form 1. x = 2x2 + 5 2. x2 + 4x - 5 = 0 3. 9x = 3x2 4. y +y+5 = 0 5. 5x2 - 7x = 0…

A:

Q: A hummingbird and a bee leave the same spot and start flying up and down in an eastward direction…

A: Differentiate the functions to determine the heights after the separation. Determine the function of…

Q: Encircle the number if its shows a quadratic equation. Write it in standard form and determine the…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

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: My neighbor and I like to kick a soccer ball back and forth to each other over the fence. If we each…

A: Consider the given scenario. Given that the neighbour's location in the picture is given by the…

Q: I was asked to write an equation of the quadratic with the following features: x-intercepts (-3,0)…

A: Given that (–3,0) and (1,0) are x-intercepts. This implies that –3 and 1 are zeros of the function y…

Q: The graph of the quadratic function y=9.25x2−13 crosses the y-axis at point D. Determine the unknown…

A: Graph and y intercept

Q: Write the quadratic function y = x(x-4) - 6(x-4) in the following forms and state the values of all…

A: Given quadratic function:- y = x(x - 4) - 6(x - 4)

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: If a and b are the roots of the quadratic equation (x - 2023)(x-2024) = 2025, then (2025-a) (2025-b)…

A:

Q: Convert the given quadratic equation to vertex form, i.e., y = a(x – h)² + k. y = x2 + 6x – 9

A:

Q: A player kicks the ball, and it travels according to the quadratic equation h(x) - -16x+40x where h…

A: Given h(x) = -16x2+40x Then (a) h'(x) = -32x+40 To find the critical point , put h'(x)=0 Consider…

Q: n rewriting the function y = ²-5-20 by completing the square, at which of the following equations…

A: We have to rewrite the given equations in square form.

Q: 7. Given a quadratic equation in polynomial form whose graph is a circle: x² + y? – 10x – 8y+32 = 0…

A:

Q: A6 m wide arch has a maximum height of 2.25 m. It is located so that its centre is 1 4 m from a…

A:

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

A:

Q: Which of the following equations is a quadratic equation? O 14x (x2 + 1) = 15 O (x2 + 5) (x² - 5x +…

A: topic -  quadratic equation

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.