Evaluating the vertex from the given Equation
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Solving System of Equations in three Variables. Evaluating the Critical Points. Graphical Representation for the Given Data. Pathology Tissue Repair Methods. Statistics Probability Independent events. Identification of the Distribution of Random Variables. Using Matrice Operations solve the Word Problem. Sampling Distribution for the Proportion. Determination of Probability Using Normal Distribution. Using Matrice Operations Solve the word Problem.
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To Test the Difference in Two Proportions. Finding Number of ways using Permutation and Combination1. Determining Subsets of a Set. Evaluating the Slope of the Tangent Line from the Graph. Simplifying Radical Algebraic Expression. Inorganic Chemistry Radioactive Isotopes.
How Do You Find the Vertex of a Quadratic Function?
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For the parabola y=x^2 - 4x - 12 in the xy-plane - Magoosh GRE
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I don't understand the coordinates of the vertex section. How did you find that equation with h and k and how did you get variables a and b? So we just plug in the values. So we can plug in:.
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So we know that the x coordinate of the vertex is 2. For more on how this works, check out this page: So those are our x values. Let me know if you have any other questions about how we arrived at those values. As for what happened to , I'm not quite sure what you're asking there. Philip Gwinnell I just want to check my logic is sound on this: Not too bad, huh?
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We saw that this process doesn't look so bad, so let's go ahead and give it a go with an application. Suppose you and a few of your friends decide to open a math tutoring business. Taking time and travel expenses into account, your business's monthly profit can be modeled by the quadratic equation:. We see that this is the quadratic equation, and its graph is shown here:. Now, when it comes to the profit of your business, what is the number one question you want to know about it? It's what is the maximum amount of profit you can make, and how many tutoring packages do you have to sell to get that maximum profit?
Well, what did we just learn about the vertex of a quadratic equation? It's the maximum or minimum point of the parabola of the equation. We see that the x -coordinate of the vertex is This tells us that to maximize your profit, you must sell tutoring packages.
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Now let's find out what that maximum profit is. Now, you just need to sell tutoring packages to attain that profit. Let's take a few moments to review the important information that we learned related to finding the vertex of a quadratic equation. In the end, we see that knowing how to find the vertex of a quadratic equation is extremely useful, because the vertex is the maximum or minimum value of the equation, and this has many uses in the world around us.
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Read "Evaluating the vertex from the given Equation" by Homework Help Classof1 with Rakuten Kobo. Find the vertex of the parabola y = x2‐4x+3. Lisez «Evaluating the vertex from the given Equation» de Homework Help Classof1 avec Rakuten Kobo. Find the vertex of the parabola y = x2‐4x+3.
The videos on Study. Students in online learning conditions performed better than those receiving face-to-face instruction. Explore over 4, video courses. Find a degree that fits your goals. How to Find the Vertex of a Quadratic Equation This lesson will show how to find the vertex of a quadratic equation. We will also see why this process is so useful to know and apply it to a real world application that could easily come up in one's life. Try it risk-free for 30 days. An error occurred trying to load this video.
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