MAT 205 Wilmington University Vertex of a Quadratic Equation Questions

HIGITIC
UOLE
SHOW YOUR WORK
1.
Use the function f(x) = 3×2 – 4 to answer the following questions. Graph the function.
a.
What is the y-intercept?
b.
What are the x-intercepts?
c.
What is the vertex?
d.
.
What is the Axis of Symmetry?
e.
Does the function have a maximum or minimum?
2. Use the function f(x) = -2(x-1)23 to answer the following questions. Graph the function.
What is the y-intercept?
a.
b.
What are the x-intercepts?
C.
What is the vertex?
d.
d.
What is the Axis of Symmetry?
e.
Does the function have a maximum or minimum?
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3. Use the graphs you created in questions 1-2 to answer this question.
a. What is the Domain and Range of the graph of question 1?
b. What is the Domain and Range of the graph of question 2?
4. Farmer Matthew sells pumpkins. He has determined the profit function to be p(x) = 250x – 5x²,
where x represents the number of pumpkins in thousands. Determine the number of pumpkins
Farmer Matthew should grow to enjoy the maximum profit. What is the profit? SHOW YOUR
WORK
5. Answer the question for the function f(x) = -2×2 – 4x +5
a. Does the function have a maximum or minimum value?
b. Where is the function’s minimum or maximum value located?
c. What is the function’s minimum or maximum value?
Extra Credit
a. Explain 2 ways to find the vertex of a quadratic equation.