# Ways of writing a quadratic graph

Graphing a Linear Equation Using Slope Intercept Form Now that you've completed a lesson on graphing slope you are finally ready to graph linear equations. There are several different ways to graph linear equations. This tutorial, like our tutorial for the TI Plus and TI Plusprovides an introduction on how to create a simple program to solve the quadratic formula, which finds the zeros of a quadratic equation.

## A quadratic function's graph is a parabola

On older calculators, this will be a drop-down menu reached by pressing the APPS button. You will be prompted to name your new program. If you choose the name of an existing program, your calculator will give you an error, so choose a unique name. When typing in the name of the program, alpha lock is automatically entered, although you can also use numbers in your application name as long as they appear after the first character.

You will then be taken to the program editing screen. Pressing F1 enters the tools menu, which allows you to cut, copy, paste, and create copies of programs.

Under Control, which is reached by pressing F2, you can find standard programming functions such as loops and conditional statements. F4 opens the Var menu, which contains functions for dealing with variables on the calculator, and also contains the Local function, which we will use later in this tutorial.

F5 opens the Find… feature, which lets you search your program for a specific string. This feature is especially useful when you are dealing with long programs. Creating the Quadratic Program on your Graphing Calculator The name of the program and the Prgm and EndPrgm commands will already be entered into the editor.

The body of the calculator program goes between these tags. This function clears the program output screen every time the program runs so that data and graphics from previously run programs will not clutter the screen.

Next, set the mode for outputting results as complex numbers in case any quadratic equations you enter result in imaginary solutions. We now need to display some information about the program.

It makes sense for this specific program to display the equation the program solves. Feel free to enter more detailed instructions in this step. Note that we entered the quadratic equation between quotes.

## Example 1: Graphing Using Slope Intercept Form

This tells the calculator that we want to output the information as a string of text on the screen, as opposed to a calculation. The next part of the program is very important: Otherwise, after running the program, using the letter variables on the home screen might end up giving unusual results.

For more info on what can go wrong if your variables are not correctly defined and how to fix it, check out this quick fix. We will be using the variables a, b, c, and d for this program, so enter Local a,b,c,d into the program.

Remember that the Local function is on the Var menu, which can be reached by pressing F4. Next we need to collect user input.

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One easy way to do this is by using the Prompt function, which allows the user to input data into variables. Enter Prompt a,b,c to prompt the user for values to the a, b, and c in the quadratic equation. Now that we have the values of A, B, and C in our equation, we need to do something with them. You may recall that the quadratic formula is: Now we can use the variable d in our equations. Finally, we need to output the solutions to our equation, which can easily be combined with the remainder of the algebra into one step using the Disp function.

Recall that expressions not in quotes will be evaluated, so we can enter this all in one line as below.Use graphing to solve quadratic equations. You know by now how to solve a quadratic equation using factoring.

## Parent Functions and Transformations – She Loves Math

Another way of solving a quadratic equation is to solve it graphically. The roots of a quadratic equation are the x-intercepts of the graph.

Example. Solve the equation A quadratic equation has one root it its graph has . C - x intercepts of the graph of a quadratic function The x intercepts of the graph of a quadratic function f given by f(x) = a x 2 + b x + c are the real solutions, if they exist, of the quadratic equation a x 2 + b x + c = 0 The above equation has two real solutions and therefore the graph has x intercepts when the discriminant D = b 2 - 4 a c is positive.

The function f(x) = ax 2 + bx + c is the quadratic function. The graph of any quadratic function has the same general shape, which is called a caninariojana.com location and size of the parabola, and how it opens, depend on the values of a, b, and caninariojana.com shown in Figure 1, if a > 0, the parabola has a minimum point and opens caninariojana.com a.

The general technique for graphing quadratics is the same as for graphing linear caninariojana.comr, since quadratics graph as curvy lines (called "parabolas"), rather than the straight lines generated by linear equations, there are some additional considerations.

Options are processed in command line order. Any option you specify on the command line remains in effect for the set of images that follows, until the set is terminated by the appearance of any option or caninariojana.com options only affect the decoding of images and others only the encoding.

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A quadratic function's graph is a parabola The graph of a quadratic function is a parabola. The parabola can either be in "legs up" or "legs down" orientation.

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