This document provides an agenda and notes for a math class that is reviewing quadratic functions and equations. It includes warm-up problems to solve quadratic equations algebraically and graphically, identifies an upcoming test on sections 10.1-10.3, and provides class work where students must show the steps to graph quadratic functions using a table of values.
I am Leonard K. I am a Differential Equations Homework Solver at mathhomeworksolver.com. I hold a Master's in Mathematics From California, USA. I have been helping students with their homework for the past 8 years. I solve homework related to Differential Equations.
Visit mathhomeworksolver.com or email support@mathhomeworksolver.com. You can also call on +1 678 648 4277 for any assistance with Differential Equations Homework.
I am Piers L. I am a Calculus Homework Solver at mathhomeworksolver.com. I hold a Master's in Mathematics From, the University of Adelaide. I have been helping students with their homework for the past 7 years. I solve homework related to Calculus.
Visit mathhomeworksolver.com or email support@mathhomeworksolver.com. You can also call on +1 678 648 4277 for any assistance with Calculus Homework.
I am Duncan V. I am a Single Variable Calculus Assignment Solver at mathhomeworksolver.com. I hold a Master's in Mathematics, from Manchester, United Kingdom. I have been helping students with their assignments for the past 12 years. I solved assignments related to Single Variable Calculus.
Visit mathhomeworksolver.com or email support@mathhomeworksolver.com. You can also call on +1 678 648 4277 for any assistance with Single Variable Calculus Assignment.
I am Manuela B. I am a Differential Equations Assignment Expert at mathsassignmenthelp.com. I hold a Master's in Mathematics from, the University of Warwick. I have been helping students with their assignments for the past 13 years. I solve assignments related to Differential Equations.
Visit mathsassignmenthelp.com or email info@mathsassignmenthelp.com.
You can also call on +1 678 648 4277 for any assistance with Differential Equations Assignment.
I am Manuela B. I am a Calculus Assignment Expert at mathsassignmenthelp.com. I hold a Master's in Mathematics from, the University of Warwick Profession. I have been helping students with their assignments for the past 8 years. I solve assignments related to Calculus.
Visit mathsassignmenthelp.com or email info@mathsassignmenthelp.com.
You can also call on +1 678 648 4277 for any assistance with Calculus Assignment.
I am Harvey L. I am a Computation and System Biology Assignment Expert at nursingassignmenthelp.com. I hold a Ph.D. in Biology, from Bond University, Australia. I have been helping students with their assignments for the past 14 years. I solve assignments related to Computation and System Biology.
Visit nursingassignmenthelp.com or email info@nursingassignmenthelp.com.
You can also call on +1 678 648 4277 for any assistance with Computation and System Biology Assignments.
I am Arcady N. I am a Single Variable Calculus Assignment Expert at mathsassignmenthelp.com. I hold a Master's in Mathematics from, Queen’s University. I have been helping students with their assignments for the past 12 years. I solve assignments related to Single Variable Calculus.
Visit mathsassignmenthelp.com or email info@mathsassignmenthelp.com.
You can also call on +1 678 648 4277 for any assistance with Single Variable Calculus Assignment.
3. Warm Up/Review:
1a. Write a quadratic equation and quadratic function
in standard form. 1b. What's the difference?
1. Any Equation in the form: ax2 + bx + c = 0; where
a,b, & c are constants. Function: f(x) or y = ax2 + bx + c
2. The vertex coordinates for any y = ax2 equation are: (0,0)
3. The vertex coordinates for any y = ax2 + c equation are:
(0,c)
The x coordinate of the vertex is found by: - b/2a
4. Solve: x2 + 2x - 3 = 0solutions, or roots, are x = 1, x = -3
4. The
5. Algebraically, the solutions to the previous problem
are 0, -3. Graphically, what do the solutions represent?
4. Warm Up/Review:
6. Solve the quadratic equation algebraically, then
graphically. Name the axis of symmetry, vertex
coordinates, roots, and state whether the vertex is a
maximum or minimum: x2 - 2x - 8 = 0
a. Can it be factored? b. Yes. (x - 4)(x + 2)c. The roots are: 4,-2
d. Find the axis of symmetry. 1
e. Then the vertex coordinates 1, -9
• •
f. Determine one more point for
the upper half of the parabola.
Let's use x = 5. The y point is the • •
same as for x = what?
g. Connect the dots
•
5. Warm Up/Review:
7. Which function has a steeper, narrower curve?
a. -2x2 + x + 3 b. 15/16x2 + 4x + 6 c. x2 + 3x - 8
8.
7. The axis of symmetry is:___ The vertex coordinates are:___
Make a table for two other points on the upper half--be
smart, find the y value for one point, then translate it across
the axis of symmetry. Finally, graph the parabola.
8.
9. The axis of symmetry is:___ The vertex coordinates
are:___
Make a table for two other points on the upper half--be
smart, find the y value for one point, then translate it
across the axis of symmetry. Finally, graph the
parabola.
14. Class Work:
Must Use Scratch paper:
Show Table of Values, Line of Symmetry, vertex
coordinates
Can work with a partner, but you must show
your work!!!!