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Graphing and Plotting Parabola

Review of major points that you should recall quickly.

AB
What shape is a parabola ?It has a U shape.
Does the parabola go up or can it go down ?It can go either way.
What is the generag parabola formnula ?y= ax2 +bx+c a can not be 0 if a is zero then this is a line formula!
What information can you get from a parabola equation ?vertex,axis of symmetry, whetehr it is up or down and location of other points
What is the formula for x vereex ?x=-b/2a
How do you get the y-vertex ?Plug x vertex value into formulaa
What is vertex ?That point where parabola hits it maximum peak or minimum point.
When does parabola look like an upward smiley face ?When coeficient a is postive
When does parabola look like a frown ?That occurs when a value is negative.
How to get the location of axis of symmetry ?It is halway point of the intercepts of the X axis.
if you see the formula y=xsquared +C what happens to the location of parabola ?It moves up by that value ?
What happens when y equal x2- C ?Tit moves down by that value.
What happens when the value for k gets bigger in formula y=kx2Then parabola gets more
When you get rid of a suared value by taling a square root what happens to the value of the numeber ?It always become a = and a - value !!!!
How do you extract roots to soleve quadratic ?2x2-5 =7 get rid of - 5 buy adding to both sides then you have 2x2=12 divide by 2 and get the x2 value= 6 squar root both side gets x = =/ square root of 6 !!!!
What is eextraction of root method ?Isolate the x squared value to one side of equattion then get square root !!
Cna you use extraction of root when the x squared value is a fraction ?Yes do algebra and isolate the xsquared value.
If an x minus a value is squares can you coleve it vy extracting roots ?Yes treat the entire set in paranthesis an get square root and then solve ! Remeber when the number on the other side of equation is squared it becomes +/- !!!
What is compound interest formula ?Ammount after x number of years is equat to value you put in account known as princial (1+interest rate) raised to the power of numer of years it is in the account !!!
What is zero factor principle ?If multiply any two nuimber by a zero the product is zero !
To solve a quatradic equation using factoring what must happemn ?Rearrange formula so it equals zero !!
What is the solution of a quatric formula ?when yis made zero the solution becomes the x intercepts
What happens when you ha a x2 and a b x value but no c value >?The constant ternm is is equal to square of one half of the number in fron of the x value.


High Point University

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