| 1) Graph the given function on graph paper, and then determine which graph is correct.
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| 2) Solve by completing the square.
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| 3) Solve the equation by using the quadratic formula.
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| 4) For the quadratic function below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y = –2(x + 2)2 + 4
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| 5) Use the zeros to find the vertex of y = x2 – 8x + 20, and then write the vertex form of the equation.
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| 6) Solve (x – 4)2 – 25 = 0
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| 7) Simplify the rational expression and give any restrictions on the variable.
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| 8) What is the domain of the function?
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| 10) Multiply.
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| 11) Divide.
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| 12) Subtract.
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| 13) Add.
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| 15) Simplify and express the answer in simplest radical form.
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| 16) Simplify and express the answer in simplest radical form.
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| 17) Simplify and express the answer in simplest radical form.
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| 20) Samantha wants to purchase a new dress. She can buy it online for 15% off but she will have to pay shipping which is 9.95. She can purchase the same dress at a local store for full price but not have to pay shipping. What price makes the dress less expensive to buy online? |
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| 21) Tickets to the big game are $25 in advance and $35 at the door. Write an inequality that shows the goal is to earn at least $1000 in ticket sales.
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| 22) Graph the inequality from #21. You can do this by hand and scan it or you can use an online calculator and take a screenshot and attach the screenshot. If you want to use a free online graphing calculator, go to: https://www.desmos.com/calculator. |
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| 23) What is a complex number?
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| 24) Find the number and type of solutions for: 3x2 – 10x + 3 = 0.
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| 25) Find the solutions for x2 + 3x + 3.
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| 26) Use the vertical line test to determine if the graph below is a function.
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| 28) Samantha bakes cakes. She charges a flat fee of $50 when the order is placed. She then charges $2.50 per serving. Write a function rule that describes how much Samantha charges for a cake. Then, find the domain and range for this function.
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| 29) What is a transformation of a function?
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| 30) Given the parent function f (x) = x2, explain the translation of f (x) = (x – 3)2 + 5.
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| 31) Given the parent function f (x) = |x|, describe the translation of the function g(x) = 2|x| + 9 from the parent function.
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| 32) Given the ordered pairs in the table below, write the ordered pairs of the inverse function.
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| 33) Find the inverse of y = 3x – 1.
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| 34) Find the inverse of y = 5x.
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| 35) Look at the graph below. Tell how the parent function f (x) = x2 has been transformed.
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| 37) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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| No offline activities found |
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