A. HAVE AN EXACT COPY OF YOUR QUESTION to begin your post so that others better understand what you are trying to do.
B. All topics should include a graph illustrating your problem. One free graphing tool available is DESMOS Calculator You are welcome to use others if you prefer.
C. A list of any resources as SELECT-ABLE urls by using the heading icon that looks like the earth with a chain.
Question 1: What is the name of the graph for Use easy numbers for a, b and c in your graph.
Question 2: What normal restrictions on a, b, and c are given to insure that this, is in fact, a true quadratic equation? Illustrate what the graph will look like if these are not met.
3: What is the equation of the axis of symmetry for . Illustrate this axis along with your function graph.
4: What are the TWO coordinates of the vertex of this curve? Simplify your final answer.
5: What is the quadratic formula to solve this equation with usually two solutions?
6. What is the formula for the discriminant for this equation. Give possible scenarios for different values of this discriminant.
7: TRUE OR FALSE AND WHY.
For parabolas, if b2- 4ac > 0 and , then has two x-intercepts?
8: For a parabola with b2- 4ac > 0 and and equation clarify what the graph looks like, including the way it can open, the location of the vertex, where it hits the x-axis and where it hits the y-axis.
9: TRUE OR FALSE AND WHY.
For parabolas, if b2- 4ac = 0 and then has two imaginary solutions?
10: For parabolas, if b2- 4ac = 0 and then clarify what the graph looks like, including the way it can open, the location of the vertex, where it hits the x-axis and where it hits the y-axis.
11: TRUE OR FALSE AND WHY.
For parabolas, if b2- 4ac < 0 and then has two real solutions?
12: For parabolas, if b2- 4ac < 0 and and clarify what the graph looks like, including the way it can open, the location of the vertex, where it hits the x-axis and where it hits the y-axis.
13: Given the equation y = x2 + 6x, please show how completing the square can allow you to put the equation in the (y-k) = a(x-h)2 form. Now identify the vertex (h,k) and axis of symmetry (x=h) using the changed equation.
14: Given the equation y = x2 – 5x, please show how completing the square can allow you to put the equation in the (y-k) = a(x-h)2 form. Now identify the vertex (h,k) and axis of symmetry (x=h) using the changed equation.
15. Explain the two different tests for a function. Illustrate each with an example.
