• Parabola. This is what anything with an x2 in it looks like graphed.

• The bottom (or top) is the vertex. (Also called the minimum or maximum point).

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Scientific Notation on TAKS 20

If Jupiter is GREATER than the earth, are you going to multiply or divide by 11.2 to find earth?_____ So _______ 8.9 by 11.2 and you get ____ x 104 And now change that to scientific notation.

QQ11

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Which don’t open up?_____ and ____Graph the other two…which is widest:_____________

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Combined? Do you add, subtract, multiply or divide? _____ Show work:

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Looks can be deceiving. QQ12

What is the “c’ value of this parabola? (also known as the y intercept?)_____What does that mean???? ______________________________________How high was the baseball when it was first thrown?_______When does the baseball approach 80 meters for the first time? ______When does it approach the 80-meter mark again? _____How much time has passed between these two points?_____Therefore, which is the correct answer?____

Reading a Quadratic Graph This was on the benchmark

Look at the equation. The “c’ value is the y intercept. You write that ( , ). Eliminate ____ and ______An x intercept always begins with a number. That eliminates _____Answer?______

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QQ13

Does domain refer to the x-values or the y-values?_____What is the smallest x-value on the graph?____ Is this value actually included in the domain?____ Why or why not? ________________________

What is the largest x-value on the graph?____ Is this value actually included in the domain?____ Why or why not? ______________________Now, which would be the range if the x were changed to “y’?_________________

Answer the same questions for this problem as the last one.Smallest x_______ Largest x_________Now, what is the range is x was changed to “y”?____________

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QQ14

Simplification the easy way…use your calculatorPut the problem at y1 and an answer at y2. look at the table. If the y columns are the same…you won.

But this one has a and b in it. Okay, make a = 2 and b = 3 and simplify to an number answer..

Then use a=2 and b= 3 in the answers and see which gets you the same answer.

Using Math:

Using math: Numbers first:(__ *___) /___ =____Eliminate ___ and ___

Now do your exponents. Just doing “a’ will get your answer. Why?_____

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Quadratics For TAKS Three Methods on this page

• (2x +3) (5x -9) (multiply)• 2x1 + 3• Times 5x1 - 9• -18x -27• 10 x2 +15x _• 10x2 -3x -27• Do this like an old fashioned multiplication

problem• Multiply -9 times 3 = 27• Multiply -9 times 2x = 18x• Multiply 5x times 3 = 15x• Multiply 5x times 2x = 10x2 .• Add -18x and +15x = -3x

• TAKS TIP• Put the problem in the calculator at Y1• Put an answer at Y2• Press 2nd graph of table. If ALL the y

values match…it is correct.

• Or FOIL• 10x2 -18x _+15x _-27__• F O I L• First Outside Inside Last

• -3x__• OI• Combine Outside and inside

• Answer: 10x2 -3x - 27

• ( 2x + 3 ) (5x -9)• First 2x * 5x = 10x 3rd • Outside 2x * -9 = -18x• Inside 3 * 5x = 15x• Last 3 * -9 = -27• Combine Outside and Inside• -18 x + 15x = -3x

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Quadratics

Formula for Area:________Length = ___________Width = _____________Pick a method from page QQ1___Find the answer. Show work.

Draw it:

Formula for area:____________Length______________Width______________Use a different method from problem number one. Show work

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QQ17

Three Ways: 1.Foil each answer, get an equation and graph it. (yuk…lots of work)2. Enter each answer as is on the calculator and graph…easyIn both, look at the graph….If that does not help, look at the table for the x values where y = 0. 3.Set each factor = to zero and solve. Those should be your x values.

First, circle the zeros and state them here:x =____ and x = __

Y = method?????

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QQ18

• Tough one. Any ideas????• First graph it. Does it look like it is

symmetrical around the y axis???• Would a and b be symmetrical? _____• How about arithmetic? For c and d…plug

them in…which one works for both answers?

• Graph it. Or substitute the answers in. • Just do it.

Change to decimals

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