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(-1)
Answer:
Show your work here:
3) Solve 6x2 + 3x – 18 = 0 using the quadratic formula.
Read the information in the assignment list to learn more about how to type math symbols, such as the square root.
Answer:
Show your work here:
4) Use the graph of y = x2 + 4x - 5 to answer the following:
a) Without solving the equation or factoring, determine the solution(s) to the equation, , using only the graph.
Answer:
Explain how you obtained your answer(s) by looking at the graph:
b) Does this function have a maximum or a minimum?
Answer:
Explain how you obtained 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 = -4, -3, -2, -1, 0, 1, 2 if .
Answer (fill in y column)
x y
- 4
- 3
- 2
- 1
0
1
2
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.
Read the information in the assignment list to learn more about how to graph in MS Excel.
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. The variable t is time in seconds, and s is the height of the object in feet.
a) If a rock is thrown upward with an initial velocity of 32 feet per second from the top of a 40-foot building, write the height equation using this information.
Typing hint: Type t-squared as t^2.
Answer:
b) How high is the rock after 0.5 seconds? Show all work.
Answer:
Show your work here:
c) After how many seconds will the rock reach maximum height? Show all work.
Answer:
Show your work here:
d) What is the maximum height? Show all work.
Answer:
Show your work here:
1 answer
1 answer