Quadratic Equations - Factoring
Not what you're looking for?
1) Solve the following by factoring:
a)
Answer:
Show your work here:
b)
Answer:
Show your work here:
2) If , find:
a) f(2)
Answer:
Show your work here:
b) f(-3)
Answer:
Show your work here:
3) Solve using the quadratic formula.
Answer:
Show your work here:
4) Use the graph of to answer the following:
a) Using the graph, what are the solution(s) to the equation ?
Answer:
Explain how you obtain your answer(s) by looking at the graph:
b) Does this function have a maximum or a minimum?
Answer:
Explain how you obtain your answer by looking at the graph:
c) What are the coordinates of the vertex in (x, y) form?
Answer:
d) What is the equation of the line of symmetry for this graph?
Answer:
5) a) Calculate the value of the discriminant of .
Answer:
Show your work here:
b) By examining the sign of the discriminant in part a, how many x-intercepts would the graph of have? Why?
Answer:
6) a) Find the corresponding y values for x= -2, -1, 0, 1, 2, 3 if .
Answer (fill in y column)
x y
-2
-1
0
1
2
3
Show your work here: (type x-squared as x^2 unless using a superscript feature).
b) Use Microsoft Excel to plot the points found in part a and to sketch the graph.
7) The path of a falling object is given by the function where represents the initial velocity in ft/sec and represents the initial height in feet.
a) If a rock is thrown upward with an initial velocity of 64 feet per second from the top of a 25-foot building, write the height (s) equation using this information.
Typing hint: Type t-squared as t^2
Answer:
b) How high is the rock after 1 second?
Answer:
Show your work here:
c) After how many seconds will the graph reach maximum height?
Answer:
Show your work here:
d) What is the maximum height?
Answer:
Show your work here:
Purchase this Solution
Solution Summary
Quadratic equation problems are solved. These equations are solved by factoring. The solution is detailed and well presented.
Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Probability Quiz
Some questions on probability
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.