Introduction
The Project we did in math was explores a selection of topics including three different forms of quadratic equations: standard, vertex, and factored form.The point of this was to get a better understanding of their different forms and ways to solve them. The problem was finding the height of a rocket at the peak and also how long it takes to reach its peak and the time it takes to reach the ground.We also used a program called desmos that gave us a better understand of the problem, It helped with different quadratics and their solutions.We launched it a 160ft platform.The initial upwards velocity of the rocket (92m/2), and downwards acceleration of the rocket caused by gravity (-32m/s/s). after moving the equation around the equation became visible that we were dealing with a quadratic equation in the form of y=ax^2+bx+c. Next all we have to find is the vertex coordinates, and the positive x intercept of the equation.
The Project we did in math was explores a selection of topics including three different forms of quadratic equations: standard, vertex, and factored form.The point of this was to get a better understanding of their different forms and ways to solve them. The problem was finding the height of a rocket at the peak and also how long it takes to reach its peak and the time it takes to reach the ground.We also used a program called desmos that gave us a better understand of the problem, It helped with different quadratics and their solutions.We launched it a 160ft platform.The initial upwards velocity of the rocket (92m/2), and downwards acceleration of the rocket caused by gravity (-32m/s/s). after moving the equation around the equation became visible that we were dealing with a quadratic equation in the form of y=ax^2+bx+c. Next all we have to find is the vertex coordinates, and the positive x intercept of the equation.
Exploring the Vertex Form of the Quadratic Equation
In the beginning of the project was The vertex form of a quadratic equation is written as y=a(x-h)^2+k, where the vertex of the parabola is (h,k). It was good that we found the vertex of a parabola, or otherwise you would probably have to find the x value in between the two x intercepts and solve from there, but then sometimes there are no x intercepts so then we would had to end up using imaginary numbers and its complicated
In the beginning of the project was The vertex form of a quadratic equation is written as y=a(x-h)^2+k, where the vertex of the parabola is (h,k). It was good that we found the vertex of a parabola, or otherwise you would probably have to find the x value in between the two x intercepts and solve from there, but then sometimes there are no x intercepts so then we would had to end up using imaginary numbers and its complicated
Other forms of the quadratic equation.
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Converting Between Forms:
Standard Form to Vertex Form:
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Standard Form to Factored Form:Standard to factored, you un-factor the equation. You take x^2+25+0 and turn 25 into a number when multiplied together will=25. In this problem, it's 5, and your equation looks like (x+5) (x+5). |
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