#### • Class 11 Physics Demo

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Question:Please can someone inform me on WHAT the Quadratic Formula actually is, a definition of it, an example of it, and how to solve it. Please and thanks you.

Answers:the quadratic formula solves for x in a formula of the form ax^2+bx+c=0 an example would be x^2+8x+16 the formula is negative b plus or minus the square root of (b^2-4ac) all divided by 2a -8+square root of (64-64) = -8 then divide by 2a -8-square root of (64-64) = -8 then divide by 2a a=1 so 2a=2 -8/2= -4 therefore in x^2+8x+16=0, x=-4

Question:hi, hope someone can help A quadratic equation is of the form ax^2 + bx + c = 0 does this mean that ax has to have a power Also are there only three types of equation (being linear, quadratic and simultaneous) Thanks for any help

Answers:Yea, in a quad. eq. ax has to have a power of 2. If there is no power it becomes a linear equation. If there is more than power of 2, it is not quadratic anymore. TW K

Question:and please keep it in laymans terms. I'm only in Algebra 1. other questions that would be very helpful if they were answered: Characteristics of a Quadratic Function Graph. definition of Concave up/concave down real-life examples of a quadratic function characteristics of a direct variation function graph characteristics of an inverse variation function graph real-life examples of inverse variation functions. characteristics of linear function graphs. please and thank you!!! You guys are awesome!!!!

Answers:quadratic equation: of the form ax^2 + bx + c = y. The graph is a parabola. Any archway is an example of a parabola. Look at the underside of a bridge for example. Concave up: the graph opens upwards (similar to the letter U). Concave down: the graph opens downwards (like the arch under a bridge). Linear functions are straight lines. y = mx + b where m is the slope (or amount of "slant") of the line and b is the y-intercept (where the graph crosses the y-axis).

Question:how would u use it in this situation? Write a quadratic function of the form y=a(x - h)^2 +k for the parabola with vertex (2,3) and a = - 4

Answers:You have what you need: y=-4(x-3) +2 If you plot it you'll see that it has two zeros. A polynomial of degree 2 will have two zeros. If you actually multiply you'll get: -4x +24x-34. Here you will see that the max exponent in x is 2 which means it's quadratic.