Using the Graphing. Calculator to Graph Quadratic. Equations. Here you'll use the graphing calculator to graph parabolas, find their intercepts, and the vertex. An arrow is ... Guided Practice. 1. Graph y = 6x2 +11x-35 using a graphing calculator. Fi
Part A: Determine whether the parabola opens up or down. Part B: Write the equation of the axis of symmetry. Part C: Find the coordinates of the vertex. Ex. = â + . Part D: Identify the vertex as a maximum or minimum. Part E: Graph the f
Graphing Calculator Scavenger Hunt. ~`~. Lois Coles. 1. Press 2"d ~ ENTE What is the ID# of your calculator? 2. For help, what website can you visit? 3.
Press 2nd + ENTER What is the ID# of your calculator? 2. For help, what website can you visit? 3. What happens to the screen when you push 2nd â³ over and ...
If you want to possess a one-stop search and find the proper manuals on your products, you can visit this website that delivers many Graphing Calculator ...
Graphing Quadratic Functions Exploration. 1. Using a graphing calculator, graph the function f x x2 ; sketch the graph on the grid using 5 exact points. a. What is the domain? b. What is the range? 2. Graph (in a different color) f x x2. 2 on the sam
Printable Worksheets from sofatutor.com. Graphing Quadratic Functions. 1. Check the following statements. 2. Describe how the coe cients change the graph. 3. Explain the change of the axis of symmetry depending on and . 4. Determine the corresponding
SHOWING WORK: â¢ You are expected to show all work. You also may be asked to use complete sentences to explain your methods or the reasonableness of your answers or to interpret your results. â¢ For results obtained from your calculator, you are re
key. To clear out the calculator's memory (kinda like starting with a fresh sheet of paper), press the key and then the key (notice the MEM in yellow above the key?) ... Another difference when using the graphing calculator is that the key is used li
Chapter 9 Quadratic Equations and Functions. Graphing Quadratic Functions. SKETCHING A ... Connect the points to form a parabola that opens up since a is positive. Graphing a Quadratic Function with a Negative a-value. Sketch the graph of y = Âº2x2 Â
Name : Score : Printable Math Worksheets @ www.mathworksheets4kids.com. Graphing Quadratic Function. Compute the function table. Draw the graph of each function. 1). Â¡ Â¢ Â£. = (. Â¢. +2). Â¢. Â¤ Â¡ Â¥ Â£. -8. -6. -4. -2. 0. 2. 4. 2). Â¡ Â¢ Â£. = (.
Chapter 9 Quadratic Equations and Functions. Graphing Quadratic. Inequalities. GRAPHING A QUADRATIC INEQUALITY. In this lesson you will study the following types of y < ax2 + bx + c y â¤ ax2 + bx + c y > ax2 + bx + c y â¥ ax2 + bx + c. The of a qua
Name: Unit 8: Quadratic Equations. Date: Bell: ______ Homework 2: Graphing Quadratic Equations. Graph each quadratic equation by making a table. 1. y = x2 + 10x + 26. 2. y = -2x2 + 8x. 3. y = x2 â 2x. 4. y = -x2. ** This is a 2-page document! **. A
5. Describe how to determine the vertex. + with lots of tips, answer keys, and detailed answer explanations for ... The graph of a quadratic function is a parabola.
E X it M Pit E 4 Writing Quadratic Functions in Standard Form. Write the quadratic function in standard form. a.y=â(x+4)(xâ9) b.y=3(xâl)2+8. SOLUTION a. y : ~(x + 4)(x â 9) Write original function. : â(x2 â 9x + 4x â 36) Multiply using
Free Math Worksheets @ http://www.mathworksheets4kids.com. Solve the quadratic equations using quadratic formula: 5 4M0. 6 7M0. 6 5M0. 12M0. 2 15 M 0.
Zeros and Factoring. 5.5. 23. 52. 17. Graphing Nonfictions. 6.1. 24. 53. 18. Polynomial Functions. 6.2. 25. 55. 19. Polynomial Regressions. 6.2. 26. 56. 20 ..... 1 3 -3 2 4 3 1 -2 2 2. -2 -2 3 3 -2. 3. I= 2 3 4 1 J= 3 4 -5 -6. Now you are going to us
A study compared the speed, x (in miles per hour), and the average fuel economy, y (in miles per ... The surface of a speed bump is shaped like a parabola.
Step 2 Graph the function. â¢ The axis of symmetry is x = 0. â¢ The vertex is (0, -2). â¢ Two other points are (1, 0) and (2, 6). â¢ Graph the points and reflect them across the axis of symmetry. Step 3 Find the zeros. The zeros appear to be -1 a
Checklist for Test: a) Graphing Functions in Standard Form Notes b) Practice Worksheet: Graphing Quadratic Functions in Standard Form c) HW: Graph â2 2 + 4 = /( ) d) Graphing Quadratic Equations Station Packet e) Projectile Motion Worksheet f)
Chapter 1. Using the Graphing Calculator to Graph Quadratic Equations
Using the Graphing Calculator to Graph Quadratic Equations
Here you’ll use the graphing calculator to graph parabolas, find their intercepts, and the vertex. An arrow is shot straight up into the air from 5 feet above the ground with a velocity of 18 ft/s. The quadratic expression that represents this situation is 5 + 18t − 16t 2 , where t is the time in seconds. At what time does the arrow reach its maximum height and what is that height?
A graphing calculator can be a very helpful tool when graphing parabolas. This concept outlines how to use the TI-83/84 to graph and find certain points on a parabola.
Graph y = −3x2 + 14x − 8 using a graphing calculator. Solution: Using a TI-83/84, press the Y = button. Enter in the equation. Be careful not to confuse the negative sign and the subtraction sign. The equation should look like y = −3x2 + 14x − 8 or y = −3x2 + 14x − 8. Press GRAPH.
If your graph does not look like this one, there may be an issue with your window. Press ZOOM and then 6:ZStandard, ENTER. This should give you the standard window. 1
www.ck12.org Example B
Using your graphing calculator, find the vertex of the parabola from Example A. Solution: To find the vertex, press 2nd TRACE (CALC). The Calculate menu will appear. In this case, the vertex is a maximum, so select 4:maximum, ENTER. The screen will return to your graph. Now, you need to tell the calculator the Left Bound. Using the arrows, arrow over to the left side of the vertex, press ENTER. Repeat this for the Right Bound. The calculator then takes a guess, press ENTER again. It should give you that the maximum is 1 1 X = 2.3333333 and Y = 8.3333333. As fractions, the coordinates of the vertex are 2 3 , 8 3 . Make sure to write the coordinates of the vertex as a point.
Using your graphing calculator, find the x−intercepts of the parabola from Example A. Solution: To find the x−intercepts, press 2nd TRACE (CALC). The Calculate menu will appear. Select 2:Zero, ENTER. The screen will return to your graph. Let’s focus on the left-most intercept. Now, you need to tell the calculator the Left Bound. Using the arrows, arrow over to the left side of the vertex, press ENTER. Repeat this for the Right Bound (keep the bounds close to the intercept). The calculator then takes a guess, press ENTER again. 2 This intercept is X = .666667, or 3 , 0 . Repeat this process for the second intercept. You should get (4, 0). NOTE: When graphing parabolas and the vertex does not show up on the screen, you will need to zoom out. The calculator will not find the value(s) of any x−intercepts or the vertex that do not appear on screen. To zoom out, press ZOOM, 3:Zoom Out, ENTER, ENTER. Intro Problem Revisit Use your calculator to find the vertex of the parabolic expression 5 + 18t − 16t 2 . The vertex is (0.5625, 10.0625). Therefore, the maximum height is reached at 0.5625 seconds and that maximum height is 10.0625 feet.
1. Graph y = 6x2 + 11x − 35 using a graphing calculator. Find the vertex and x−intercepts. Round your answers to the nearest hundredth.
1. Using the steps above, the vertex is (-0.917, -40.04) and is a minimum. The x−intercepts are (1.67, 0) and (-3.5, 0). 2
Chapter 1. Using the Graphing Calculator to Graph Quadratic Equations
Graph the quadratic equations using a graphing calculator. Find the vertex and x−intercepts, if there are any. If there are no x−intercepts, use algebra to find the imaginary solutions. Round all real answers to the nearest hundredth. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.
y = x2 − x − 6 y = −x2 + 3x + 28 y = 2x2 + 11x − 40 y = x2 − 6x + 7 y = x2 + 8x + 13 y = x2 + 6x + 34 y = 10x2 − 13x − 3 y = −4x2 + 12x − 3 y = 31 (x − 4)2 + 12 y = −2(x + 1)2 − 9
Calculator Investigation The parent graph of a quadratic equation is y = x2 . 11. Graph y = x2 , y = 3x2 , and y = 12 x2 on the same set of axes in the calculator. Describe how a effects the shape of the parabola. 12. Graph y = x2 , y = −x2 , and y = −2x2 on the same set of axes in the calculator. Describe how a effects the shape of the parabola. 13. Graph y = x2 , y = (x − 1)2 , and y = (x + 4)2 on the same set of axes in the calculator. Describe how h effects the location of the parabola. 14. Graph y = x2 , y = x2 + 2, and y = x2 − 5 on the same set of axes in the calculator. Describe how k effects the location of the parabola. 15. Real World Application The path of a baseball hit by a bat follows a parabola. A batter hits a home run into the stands that can be modeled by the equation y = −0.003x2 + 1.3x + 4, where x is the horizontal distance and y is the height (in feet) of the ball. Find the maximum height of the ball and its total distance travelled. 3
www.ck12.org Answers for Explore More Problems
To view the Explore More answers, open this PDF file and look for section 5.17.